Question about Texas Instruments TI-83 Plus Calculator

# Can't do inverse of matrices

I am doing matrices, I have plugged in my values however when i try to do the inverse, it says "Singular Mat..." Quit or go to.. and it just quits What is the problem? Please help

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The problem is with the data. The calculator is telling you that your matrix is singular. Inverting a singular matrix is analogous to dividing by 0. Just as you can't divide by 0, you can't invert a singular matrix.

If you think that the inverse exists, double check the entries in the matrix.

Posted on Jan 23, 2010

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## Related Questions:

### How to solve an inverse of matrices

You must be in the RUN screen.
Press 1:Run
Press OPTN
Under tab F2:Mat you get the MAT tab.

To invert a non-singular matrix A (a matrix with non-zero determinant) you, on the command line type in
Mat A then press the [x^-1] key. The [x^-1] is the shifted function of the right parenthesis.

Mar 25, 2014 | Casio FX-9750GPlus Calculator

### How to solve the inverse of a 3x3 matrix

A. Define the matrix (Create it)

Turn calculator ON.
Press Menu,select the MAT icon and press [EXE]
You see a list of possible matrix labels (A, B, C,D,E,F)
All that have not been created have a "none" to their right
Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
That is where you specify the dimensions (mxn). exemple. 2x2
Enter the first dimension and press [EXE]
Enter the 2nd dimension and press [EXE]
A matrix template opens where you enter the coefficients left to right and up down.
After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.

At the bottom of the screen you have 3 menus for Row and column manipulations. But those will have to wait for now.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B. Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..

These operations are accessed as follows.
Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
Press [OPTN][F2:MAT]
You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill

Exemple : calculate the determinant of a matrix A (already defined).

You press the [OPTN][F2:MAT] key sequence (just above)
Press [F3:Det]; the command det is displayed on screen.
Press [F1:Mat] the identifier Mat is displayed.
Press [ALPHA] A; screen display det Mat A.
Press [EXE] to get the value of the determinant.

C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB
[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]

E. Calculate the inverse of a square matrix (Mat A)
Use commands like the ones above to display the command Mat A, the press the [x^-1] key. You will get the inverse if matrix can be inverted.

Apr 27, 2012 | Casio FX-9860G Graphic Calculator

### I'm having a hard time trying to solve matrices on my Casio calculator. I can enter the deminsions of the matrix, but I don't know how to solve them.

Here is enough to get you started and a little more.
Read the post ant consult your calculator manual. The screen captures below may not look exactly as your calculator but the steps are identical.

A. Define a matrix (Create it)
1. Turn calculator ON.
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..
1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill
Example : calculate the determinant of a matrix A (already defined).
1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.
C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB

[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]

Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above
Press [F1:Mat] to have identifier Mat displayed.
Enter the name of the matrix by pressing [ALPHA] A, for example.
Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).

Press [EXE] button to calculate the inverse.

Apr 20, 2011 | Casio FX-9750GPlus Calculator

### I am unable to solve determinant of matrix.

Here is enough to get you started and a little more.
How to calculate the determinant of a (square, non-singular) matrix is described in part B

A. Define a matrix (Create it)
1. Turn calculator ON.
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..
1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill
Example : calculate the determinant of a matrix A (already defined).
1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.
C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB

[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]

Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above
Press [F1:Mat] to have identifier Mat displayed.
Enter the name of the matrix by pressing [ALPHA] A, for example.
Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).

Press [EXE] button to calculate the inverse.

Apr 08, 2011 | Casio FX-9860G Graphic Calculator

### How do you add matrices such as a (2x2) (2x3) on a casio fx-9750g

Here is enough to get you started and a little more.
Read the post ant consult your calculator manual. The screen captures below may not look exactly as your calculator but the steps are identical.

A. Define a matrix (Create it)
1. Turn calculator ON.
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..
1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill
Example : calculate the determinant of a matrix A (already defined).
1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.
C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB

[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]

Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above
Press [F1:Mat] to have identifier Mat displayed.
Enter the name of the matrix by pressing [ALPHA] A, for example.
Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).

Press [EXE] button to calculate the inverse.

Mar 23, 2011 | Casio FX-9750GPlus Calculator

### How can i use Graphic calculator (fx-9860G) to solve matrics ( addition and multiplication etc). Would you please help me step by step. Asmat

Here is enough to get you started and a little more.
Read the post ant consult your calculator manual. The screen captures below may not look exactly as your calculator but the steps are identical.

A. Define a matrix (Create it)
1. Turn calculator ON.
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.
At the bottom of the screen you have 3 menus for Row and column manipulations. But those will have to wait for now.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..
1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill
Example : calculate the determinant of a matrix A (already defined).
1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.
C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB

[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]

Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above
Press [F1:Mat] to have identifier Mat displayed.
Enter the name of the matrix by pressing [ALPHA] A, for example.
Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).

Press [EXE] button to calculate the inverse.

Mar 09, 2011 | Casio FX-9860G Graphic Calculator

### Hoe to calculate a inverse matrix?

Sorry if post is too long. Skim through it to find the inverse of a matrix in part at the end:Part E

Note: Matrix must be square (nXn) and non singular (its determinant not equal to zero)

A. Define a matrix (Create it)

1. Turn calculator ON.
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.
At the bottom of the screen you have 3 menus for Row and column manipulations. But those will have to wait for now.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..
1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill
Example : calculate the determinant of a matrix A (already defined).
1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.
C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB

[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]

Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above
Press [F1:Mat] to have identifier Mat displayed.
Enter the name of the matrix by pressing [ALPHA] A, for example.
Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).

Press [EXE] button to calculate the inverse.

Feb 25, 2011 | Casio FX9750GII Graphic Calculator

### How do you do matrix?

Here is a small sample of things you can do with matrices.

A. Define a matrix (Create it)

1. Turn calculator ON.
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.
At the bottom of the screen you have 3 menus for Row and column manipulations. But those will have to wait for now.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..
1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill
Example : calculate the determinant of a matrix A (already defined).
1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.
C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB

[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]

Press the F6 key to access other functions.

Jan 23, 2011 | Casio FX9750GII Graphic Calculator

### In casio fx-991ES, i am able not to get the matrix multiplication as well as inverse when i do so get math error.

This post is rather exhaustive as regards the matrix capabilities of the calculator. So if the post recalls things you already know, please skip them. Matrix multiplication is at the end.

Let me explain how to create matrices. (If you know how to do it, skip to the operations on matrices, at the end.)

First you must set Matrix calculation
[MODE][6:Matrix]. Then By entering one of the numbers [1:MatA] or [2:Matb] or [3:MatC] you get to choose the dimensions of the matrix
(mxn]. Once finished entering the matrix you clear the screen.
The operations on matrices are available by pressing [Shift][Matrix]
[1:Dim] to change the dimension of a matrix (in fact redefining the matrix)
[2:Data] enter values in a matrix
[3:MatA] access Matrix A
[4:Matb] access Matrix B
[5:MatC] access matrix C
[6:MatAns] access the Answer Matrix (the last matrix calculated)
[7:det] Calculate the determinant of a matrix already defined
[8:Trn] The transpose of a matrix already defined

To add matrices MatA+MatB (MUST have identical dimensions same m and same n, m and n do not have to be the same)
To subtract MatA-MatB. (MUST have identical dimensions, see above)
To multiply MatAxMatB (See below for conditions on dimensions)
To raise a matrix to a power 2 [x2], cube [x3]
To obtain inverse of a SQUARE MatA already defined MatA[x-1]. The key [x-1] is the x to the power -1 key. If the determinant of a matrix is zero, the matrix is singular and its inverse does not exit.

Dimensions of matrices involved in operations must match. Here is a short summary

The multiplication of structured mathematical entities (vectors, complex numbers, matrices, etc.) is different from the multiplication of unstructured (scalar) mathematical entities (regular numbers). As you well know matrix multiplication is not commutative> This has to do with the dimensions.

An mXn matrix has m rows and n columns. To perform multiplication of an kXl matrix by an mXn matrix you multiply each element in one row of the first matrix by a specific element in a column of the second matrix. This imposes a condition, namely that the number of columns of the first matrix be equal to the number of rows of the second.
Thus, to be able to multiply a kXl matrix by am mXn matrix, the number of columns of the first (l) must be equal to the number of rows of the second (m).

So MatA(kXl) * MatB(mXn) is possible only if l=m
MatA(kX3) * Mat(3Xn) is possible and meaningful, but
Mat(kX3) * Mat(nX3) may not be possible.

To get back to your calculation, make sure that the number of columns of the first matrix is equal to the number of rows of the second. If this condition is not satisfied, the calculator returns a dimension error. The order of the matrices in the multiplication is, shall we say, vital.

Dec 18, 2010 | Casio FX-115ES Scientific Calculator

### ERR:SINGULAR MAT when finding inverse of matrices

If a matrix has a determinant of 0, this error appears. If you get this error, your matrix doesn't have an inverse.

Jun 02, 2009 | Texas Instruments TI-84 Plus Silver...

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