Question about Texas Instruments TI-84 Plus Silver Edition Graphic Calculator

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ERR:SINGULAR MAT when finding inverse of matrices

I have a TI-84+ SE calculator, and I am trying to get the inverse of matrices of various sizes. I am entering size and numbers, but I can't get the inverse of a square matrix of size greater than 3 x 3. I am using the matrix menu for the name, and the X^-1 button for the inverse. Please help!

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

Posted on Jun 06, 2009

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How to solve Matrix Problems on a TI 84 siver plus calculator


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How to solve an inverse of matrices


You must be in the RUN screen.
Press Menu
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.

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What's the determinant of the numbers in matrix A? A singular matrix is a matrix whose determinant is zero.

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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]

k24674_10.jpg

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).
k24674_31.jpg

Press [EXE] button to calculate the inverse.

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1 Answer

I am unable to solve determinant of matrix.


Here is enough to get you started and a little more.
Read the post ant consult your calculator manual.
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]

k24674_10.jpg

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).
k24674_31.jpg

Press [EXE] button to calculate the inverse.

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1 Answer

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]

k24674_10.jpg

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).
k24674_31.jpg

Press [EXE] button to calculate the inverse.

Feb 25, 2011 | Casio FX9750GII Graphic Calculator

1 Answer

On my ti 84 every time I try to calculate the inverse of my 3x3 matrix it says ERROR: SINGULAR MAT. what should I do?


A singular matrix has no inverse. It's the equivalent of zero: trying to take the inverse of zero is an error. Check the matrix to make sure you have entered it correctly. If the error persists, could you post the matrix in question?

Dec 10, 2010 | Texas Instruments TI-84 Plus Calculator

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I am trying to do SinReg but my calculator wont let me! HELP!!!!!


your value is not within the domain of the function, that is why it's giving you that error message, try the value times -1, or -(your value)

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1 Answer

Can't do inverse of matrices


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.

Apr 19, 2009 | Texas Instruments TI-83 Plus Calculator

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