Question about Casio FX-115ES Scientific Calculator

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First put the calculator into matrix mode. Do this by pressing [mode]

then [5] . Insert your matrices (you have 3 that can be saved in this calculator MatA, MatB, and MatC). Press the [ac] button, this will allow you to do calculations on the matrices. From here you use the calculation keys to do your calculations. There are many calculations that this calculator can do. A couple examples are: multiplying a matrix by a constant you would type in MatA x 4 = , or you could add two matrices of the same dimension by typing in MatA + MatB =, or you could find the determinant by typing in (det (MatA)) = .

Posted on Mar 17, 2011

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Posted on Jan 02, 2017

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The following was written for the Casio FX-991 ES. If matrix calculations are available on your calculator you will perform them as described below. ( I have no time to verify that the FX-991ms can perform matrix calculations).

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 add matrices MatA+MatB

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.

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 add matrices MatA+MatB

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

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(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.

Nov 06, 2012 | Casio FX991MS Scientific Calculator

Turn calculator ON

Press the Mode key.

Select the Matrix Option

Select the name of the Matrix: MatA , MatB, or MatC

Choose the dimensions of the matrix (3X3, 3X2, ..2X1)

Calculator displays a template (empty spaces where you enter the matrix coefficients.

Type = after each element.

Press AC to exit the matrix editor.

Now you are ready to do (legal) operation on the matrix.

Available opeartions are found under SHIFT 4: Matrix.

To enter a matrix label on the command line (MatA, MatB, or MatC) you press SHIFT;4 (MATRIX), and select the label by pressing the relevant number in the list of options

Press the Mode key.

Select the Matrix Option

Select the name of the Matrix: MatA , MatB, or MatC

Choose the dimensions of the matrix (3X3, 3X2, ..2X1)

Calculator displays a template (empty spaces where you enter the matrix coefficients.

Type = after each element.

Press AC to exit the matrix editor.

Now you are ready to do (legal) operation on the matrix.

Available opeartions are found under SHIFT 4: Matrix.

To enter a matrix label on the command line (MatA, MatB, or MatC) you press SHIFT;4 (MATRIX), and select the label by pressing the relevant number in the list of options

Jan 24, 2012 | Casio FX-115ES Scientific Calculator

- First you must set Matrix calculation: Press [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 A SINGLE matrix are available by pressing [Shift][Matrix].
- The choices are

- [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

Once you have created a square matrix, for example matA.

You press [Shift][Matrix] [7:det] [SHIFT][MATRIX][3:MatA], close the parenthesis and press [ENTER].

If you have defined two similar matrices (same number of row and same number of columns) you can ADD them or subtract them. The operation keys are Plus and Minus as for any number.

To multiply you use the multiplication sign. The matrices must be compatible (mxn) multiplied by (nxk).

Aug 10, 2011 | Casio FX-115ES Scientific Calculator

Here is an account of what you can do with matrices on this scientific calculator. Certain precautions must be taken as concerns the dimensions of the matrices. Refer to your text book on matrix algebra.

On this calculator the largest matrices you can define have dimensions 3X3.

Once you have created a square matrix, for example matA.

You press [Shift][Matrix] [7:det] [SHIFT][MATRIX][3:MatA], close the parenthesis and press [ENTER].

If you have defined two similar matrices (same number of row and same number of columns) you can ADD them or subtract them. The operation keys are Plus and Minus as for any number.

To multiply you use the multiplication sign. The matrices must be compatible (mxn) multiplied by (nxk).

On this calculator the largest matrices you can define have dimensions 3X3.

- First you must set Matrix calculation: Press [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 A SINGLE matrix are available by pressing [Shift][Matrix].
- The choices are

- [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

Once you have created a square matrix, for example matA.

You press [Shift][Matrix] [7:det] [SHIFT][MATRIX][3:MatA], close the parenthesis and press [ENTER].

If you have defined two similar matrices (same number of row and same number of columns) you can ADD them or subtract them. The operation keys are Plus and Minus as for any number.

To multiply you use the multiplication sign. The matrices must be compatible (mxn) multiplied by (nxk).

Aug 10, 2011 | Casio FX-115ES Scientific Calculator

This calculator does not support matrix equations/operations. You can either purchase a more expensive calculator with matrix functions, or you can do it by hand. Here is a basic tutorial on matrices: http://www.miislita.com/information-retrieval-tutorial/matrix-tutorial-2-matrix-operations.html

The TI-83 Plus is a calculator which will do matrix manipulation and is easily found used on sites like eBay.

The TI-83 Plus is a calculator which will do matrix manipulation and is easily found used on sites like eBay.

Mar 01, 2011 | Sharp EL531WBBL Scientific Calculator

- First you must set Matrix calculation: Press [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 A SINGLE matrix are available by pressing [Shift][Matrix].
- The choices are

- [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

Once you have created a square matrix, for example matA.

You press [Shift][Matrix] [7:det] [SHIFT][MATRIX][3:MatA], close the parenthesis and press [ENTER].

If you have defined two similar matrices (same number of row and same number of columns) you can ADD them or subtract them. The operation keys are Plus and Minus as for any number.

To multiply you use the multiplication sign. The matrices must be compatible (mxn) multiplied by (nxk).

Sep 27, 2010 | Casio FX-115ES Scientific Calculator

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 A SINGLE matrix are available by pressing [Shift][Matrix]. The choices are

[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

Once you have created a square matrix, for example matA.

You press [Shift][Matrix] [7:det] [SHIFT][MATRIX][3:MatA], close the parenthesis and press [ENTER].

[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 A SINGLE matrix are available by pressing [Shift][Matrix]. The choices are

[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

Once you have created a square matrix, for example matA.

You press [Shift][Matrix] [7:det] [SHIFT][MATRIX][3:MatA], close the parenthesis and press [ENTER].

Aug 17, 2010 | Casio FX-115ES Scientific Calculator

Hello,

**I will assume you are familiar with the basic concepts of matrix algebra**.

Turn calculator [ON]

Press [MODE][6:MATRIX]. Select the matrix you want: MatA, MatB, Matc

Let us assume you select 1: MatA.

MatA (mxn) sceen: there you specify the dimensions of the matrix, the number of rows, and the number of columns. Press 5 for a 2x2 matrix.

The matrix entry screen shows, a rectangle is highlighted. Enter there the a_11 coefficient, exemple 1.

1 [ENTER]. Highlight moves to a_12 ;

1 [ENTER] highlight moves to a_21

1 [ENTER] highlight moves to a_22

2 [ENTER] Highlight stays on a_22.

Matrix is defined. The values I used are arbitrary. Enter your own.

Suppose you want to calculate the determinant of MatA

Press [SHIFT][MATRIX][7:det][SHIFT][MATRIX][3:MatA] [)] [=]

Now you want to calculate the square of matA.

Press [SHIFT][MATRIX][3:MatA] [x^2][=]

A 2x2 matrix is displayed. It is MatA[^2].

If you define MatA, MatB, MatC y

Turn calculator [ON]

Press [MODE][6:MATRIX]. Select the matrix you want: MatA, MatB, Matc

Let us assume you select 1: MatA.

MatA (mxn) sceen: there you specify the dimensions of the matrix, the number of rows, and the number of columns. Press 5 for a 2x2 matrix.

The matrix entry screen shows, a rectangle is highlighted. Enter there the a_11 coefficient, exemple 1.

1 [ENTER]. Highlight moves to a_12 ;

1 [ENTER] highlight moves to a_21

1 [ENTER] highlight moves to a_22

2 [ENTER] Highlight stays on a_22.

Matrix is defined. The values I used are arbitrary. Enter your own.

Suppose you want to calculate the determinant of MatA

Press [SHIFT][MATRIX][7:det][SHIFT][MATRIX][3:MatA] [)] [=]

Now you want to calculate the square of matA.

Press [SHIFT][MATRIX][3:MatA] [x^2][=]

A 2x2 matrix is displayed. It is MatA[^2].

If you define MatA, MatB, MatC y

Sep 24, 2009 | Casio FX-115ES Scientific Calculator

Hello

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

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 (see you textbook for the rules)

Read the appendix to your user manual, there are several exemples.

Hope helps

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

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 (see you textbook for the rules)

Read the appendix to your user manual, there are several exemples.

Hope helps

Sep 10, 2009 | Casio FX-115ES Scientific Calculator

Hello,

You cannot calculate the inverse of an arbitrary matrix. It must be a square matrix (nxn) with non zero determinant. Make sure dimensions m and n are equal. (2x2), (3x3)

To calculate its determinant [Shift][MATRIX] [7:det] [SHIFT][MATRIX][3:MatA] close the right parenthesis and [=].

If determinant is different from zero then you can calculate its inverse.

If matrix MatA has already been defined, you calculate its inverse as follows;

[SHIFT][MATRIX][3:MatA] [X^-1][=]. Use the X to -1 power , the one under [MODE].

For well-behaved matrices you calculate the inverse directly without worrying about the determinant.

Hope it helps.

You cannot calculate the inverse of an arbitrary matrix. It must be a square matrix (nxn) with non zero determinant. Make sure dimensions m and n are equal. (2x2), (3x3)

To calculate its determinant [Shift][MATRIX] [7:det] [SHIFT][MATRIX][3:MatA] close the right parenthesis and [=].

If determinant is different from zero then you can calculate its inverse.

If matrix MatA has already been defined, you calculate its inverse as follows;

[SHIFT][MATRIX][3:MatA] [X^-1][=]. Use the X to -1 power , the one under [MODE].

For well-behaved matrices you calculate the inverse directly without worrying about the determinant.

Hope it helps.

Apr 16, 2009 | Casio FX-115ES Scientific Calculator

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