Question about Casio FX-115ES Scientific Calculator

How to do matrix multiplication on Casio 115ES?

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

Posted on Sep 12, 2009

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Posted on Jan 02, 2017

SOURCE: how to do multiplication of

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.

Posted on Apr 25, 2011

Press SHIFT [MATRIX], specify the matrix to be inverted, then x^-1.

Example #103 in the appendix shows the exact procedure for inverting the matrix entered in example #096. If you need the manual and the appendix, you can download them from

http://support.casio.com/manualfile.php?rgn=1&cid=004001004

Example #103 in the appendix shows the exact procedure for inverting the matrix entered in example #096. If you need the manual and the appendix, you can download them from

http://support.casio.com/manualfile.php?rgn=1&cid=004001004

May 09, 2011 | Casio FX-115ES Scientific Calculator

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.

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

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.

Apr 24, 2011 | Casio FX-115ES Scientific Calculator

1. press mode
2. select the option matrix (6)
3.select matrix A,B or C
4 select (m x n)
5 input matrix
6 repeat steps1-5 if u are using more than 1 matrix. (select another matrix (A,B or C) in step 3)
7 press shift and 4 and select the required functions. (mat A x mat B or det mat A etc..)

Jan 09, 2011 | Casio FX-115ES Scientific Calculator

Press MODE 6 to get into matrix mode. Note: do this only once. If you do it again, it will erase all your matrices. Pick the matrix, set its dimension, then the calculator will put up a screen allowing you to enter/edit the matrix elements. At any time you're in matrix mode, press SHIFT 4 to bring up the matrix menu.

All this is explained in the manual beginning on page E-57. If you've misplaced the manual, you can download a copy from

http://support.casio.com/manualfile.php?rgn=1&cid=004001004

All this is explained in the manual beginning on page E-57. If you've misplaced the manual, you can download a copy from

http://support.casio.com/manualfile.php?rgn=1&cid=004001004

Nov 08, 2010 | Casio FX-115ES Scientific Calculator

When you press MODE 6 for Matrix, you're clearing any previously entered matrices. So, you're clearing MatA when you go to enter MatB.

Instead, after entering MatA press SHIFT 4 to bring up the Matrix menu, press 1 for DIM, press 2 for MatB, press 5 for 2x2, and enter the data.

Instead, after entering MatA press SHIFT 4 to bring up the Matrix menu, press 1 for DIM, press 2 for MatB, press 5 for 2x2, and enter the data.

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

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

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

the cofactor (C) of Matrix (A) = (det(a) times (A)^-1)t

Cof A=(detAxA^1)t

Enter a matrix for (MatA)**AC**

**shift 4 7** gives det(_

**shift 4 3** shows det(a **)**<**-**end Paren

**= x** shows ansx

**shift 4 3** shows ansxMatA -1x

**=** you'll see a Matrix **AC** to get out

**shift 4 8** gives Trn(

**shift 4 6** shows Trn(MatAns**) =**

The Matrix graph shows all the Cofactors

Cof A=(detAxA^1)t

Enter a matrix for (MatA)

The Matrix graph shows all the Cofactors

Jan 27, 2009 | Casio FX-115ES Scientific Calculator

According to the manual for the Casio FX115ES, the largest matrix it solves is a 3x3.

Sep 06, 2008 | Casio FX-115ES Scientific Calculator

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