Question about Texas Instruments TI-83 Plus Calculator

# I need to enter a 3 x 3 matrix. It is 4 columns and 3 rows. How do I enter it in the TI-83 +?

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• Texas Instru... Master

1. Press [2nd] [X to -1] under [MATH[ to access the (Matrix) menus.
2. Use right arrow to highlight [EDIT]
3. Press [1:A] to edit (create from scratch) the A matrix.
4. On the line MATRIX[A] line cursor blinks on 1
5. Enter m dimension (3) and press [ENTER].
6. Cursor moves to the second dimension (n). type 3.
7. Press [ENTER].
8. A 3x3 matrix template is displayed with A_11 element highlighted.
9. Replace the value 0 with your value for A_11.
10. Press [ENTER].
11. Type a value and press [ENTER].
12. When finished, press [2nd][QUIT] to exit the matrix editor.
Your matrix is ready to be operated on (squaring, multiplication by a scalar, inverse if matrix is non-singular, determinant.) All operations are available under [2nd][X^-1](Matrix) [=>][MATH].

Posted on Feb 03, 2010

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• k24674 Feb 03, 2010

Sorry, a 3X3 matrix cannot have 4 columns and 3 rows. The first dimension is the number of rows. The second dimension is the number of columns. The matrix you want is a 3X4. Repeate what I described or open trhe matrix for editing and use up arrows to change the m and n.

• k24674 Feb 03, 2010

OOPS On last line of previous comment read Repeat not Repeate

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## Related Questions:

### Hi my name is paul and I'm trying to get more help for Statistics, there was help for finding mean, but i can't find help for standard deviation. Also, for another professor I can't figure out, by the...

TO COMPUTE STANDARD DEVIATION AND 2-VAR STATISTICS.

I assume you know the theory. I will show you the key strokes

For 1-Var statistics
Press [MODE][3:STAT] [1:1-VAR]. You are ready to enter values in the X column.
Enter a number and press [=]. Cursor jumps to second number to enter.
Keep entering numbers and pressing [=] till all numbers are in. Press the [=] key after the last one.
Press [AC] key to clear the screen.
Press [SHIFT] [STAT] (above digit 1.) then [5:Var]. Screen displays the statistical variables 1:n ;2: x bar; 3: x sigma n; 4:x sigma n-1.
Press the number corresponding to the statistical value you want, ex 1:n . The variable appears on screen. Press [=] and it will be displayed.
To display another variable press [SHIFT][STAT][5:Var][ 1,2, 3, or 4] .

To access the sum of squares sigma x^2 and the sum of data sigma x press[SHIFT][STAT][4:SUM] then [1: for sigma x^2] or [2: for sigma x]. Press [SHIFT][STAT][6:MinMax] to access minX and maxX.

For 2-var statistics
To perform 2 variable statistics you press [MODE][3:STAT] and any of the other regression options (except 1:1-Var). A two column template opens where you enter the X and Y values. When finished entering data, press [SHIFT][STAT][5:Var]. to access the different statistics. As I assumed above, you should be able to recognize what each variable means.

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.

Apr 14, 2011 | Casio FX-115ES Scientific Calculator

### I get ERR: DOMAIN everytime I try to inverse a matrix

1. First, Press the "MATRX" button

2. Next, enter a matrix into the calculator. To enter a matrix, press the arrow that points to the right two times when the cursor highlights letter "A." This moves the top cursor to "Edit." Press "Enter" to select the "Edit" option.

3. Next,, enter the matrix's numbers into the matrix on the calculator. Press "Enter" to move the cursor over one column. Press a button that has a dash symbol within parenthesis [( - )] to move down one row. Repeat the steps until the matrix is completed.

4. Next, Press "2nd" then "Mode" to go back to the home screen. Press "MATRX" to enter the matrix screen again.

5. Finally, press "Enter" when the cursor highlights matrix "A" then press "[x^ -1]." Your screen should read "[A]^ -1." Press "Enter" again to display the inverse matrix.

I got this information from eHow.com

Dec 07, 2010 | Texas Instruments TI-83 Plus Calculator

### Solve a matrix of complex numbers using ti89 or any other ti calculator

Well, the equation is Ax=b and we want so solve for x
There are several ways of entering the data, but this is one way
Code: A=[15+35i 29+1i; 46+13i 62+3i]
b=[0;0]
x=A\b which has the trivial solution x=[0;0] (the ";" means "next row", a space next column.) To input a matrix use APPs then Data/Matrix Editor then New. Then change Data to Matrix. Put in the name such as "AA" in the variable field. Then enter row and column dimensions. Then edit as a spread sheet. Use F6(util) to delete a column or row. To manipulate matrices, exit the matrix application, then go to MATH then Matrix. Notice that J(RowOpps) is available. Good luck and thank you for using FixYa! We would sure appreciate a 4 "thumbs-up" rating for this answer. Happy holidays!

Dec 05, 2010 | Texas Instruments TI-84 Plus Calculator

### How to use matrix in the calculator

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 matrixe to a power 2 [x2], cube [x3]
To obtain inverse of MatA already defined MatA[x-1] [x-1] is the x to the power -1 key
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 umbers). 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.

Aug 06, 2010 | Casio FX-115ES Scientific Calculator

### TI-83 Plus Calculator: what does ERR: DIM MISMATCH mean?...

Imagine you are doing statistical calculations with two list, say L1 and L2 but one list has 10 elements (values) while the other has only 9. The dimension of the lists are different (mismatched) because one is 10 and the other 9.

Another case is if you are manipulating matrices such as adding a3x3 matrix to 3x2 matrix. Both matrices have the same number of rows but different numbers of columns.

May 18, 2010 | Texas Instruments TI-83 Plus Calculator

### How to multiply two matricies?

Let me explain how to create matrices. (If you know how to do it, skip to the operations on matricies, 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 subtract MatA-MatB
To multiply MatAxMatB
To raise a matrixe to a power 2 [x2], cube [x3]
To obtain inverse of MatA already defined MatA[x-1] [x-1] is the x to the power -1 key
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 umbers). 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 matrice 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.

Mar 06, 2010 | Casio FX-115ES Scientific Calculator

### How to find the cofactors?

There is no command on the calculator that allows you to do it.
You can use the calculator to evaluate the minors for each element (the determinant of the matrix that is left when you remove the column and the row that have that element as intersection).
Here is an example how to calculate the cofactor of the _11 element of a 3X3 matrix.

1. I defined a 3x3 matrix called b
2. I defined a submatrix by removing the first row and the first column of the b matrix.
3. The submatrix is called min11.
4. Its determinant is the minor of the _11 element of matrix b.
5. The cofactor cof11 of _11 element of matrix b is the product of (-1) to the the power (1+1) and the minor of the _11 element.
6. The cofactor is represented by the last result to the right of ->cof11, that means b22*b33-b23*b32.

Jan 27, 2010 | Texas Instruments TI-83 Plus Calculator

### I put my MatA and MatB but when I multiply them it displays a dimension erreor

I know this is a long time ago, but i am sure someone might ask eventually this same question.For the Casio fx-115es here are the instructions:go to mode, matrix, and pick the matrix you want to you.. you only have 3 options.create your matrix and press AC.Here is the tricky part, DO NOT go to mode again, that will reset your matrices that you have entered. Instead, press shift and the number 4 key, which is also matrix, go to press 1 (DIM), chose the other matrix to enter, and you can start mult, adding, etc.Any time you want to use the entered matrices, go through the matrix function, not the mode function.

Dec 12, 2009 | Casio FX-115ES Scientific Calculator

### Steps in solving matrix on my ti 89 calculator.

I assume you are speaking of solving a system of equations with a number of unknowns. If not, please correct me. Here's an example in practice:

If you have a system of 3 equations with 3 unknowns, you would set up your matrix so that the coefficients of each variable for a particular equation are on one row. So, given equations x + y + z = 0, 2x + 3y - 4z = 1, x + -z = -1 you would type the following into your calculator: [[1,1,1,0][2,3,-4,1][1,0,-1,-1]] and press enter to make sure you typed it correctly. notice that in the third row there is a zero, since we have zero time y for the third equation. Then row-reduce the matrix (2nd > 5 > 4 > 4 or in the CATALOG as rref). You should get out the matrix [[1,0,0,-1][0,1,0,1][0,0,1,0]]. This says that x=-1 y = 1 z=0 since my first column contained the coefficients for the x variable, the second for the y variable, and the third for the z variable. The last column contains the solution, the part on the other side of the equals sign.

Hope this helps! For more reading (from someone else; I just made this one up), check out the Wikipedia articles on Gaussian elimination and Systems of linear equations

May 03, 2009 | Texas Instruments TI-84 Plus Calculator

### "invalid dim"

A matrix needs to be square--the number of rows must equal the number of columns.

Dec 07, 2007 | Texas Instruments TI-83 Plus Calculator

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