Question about Casio FX-115ES Scientific Calculator

# How to use the regular calculator to solve a matrix question?

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### k24674

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1. First you must set Matrix calculation: Press [MODE][6:Matrix].
2. 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].
3. Once finished entering the matrix you clear the screen.
4. The operations on A SINGLE matrix are available by pressing [Shift][Matrix].
5. 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).

Posted on Oct 02, 2010

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## Related Questions:

### How to solve matrix

What do you mean by "solve matrix"? Do you want its determinant? Its inverse? The eigenvalues and eigenvector? Solve a system of linear equations?

Jun 11, 2013 | Casio FC-200V Scientific Calculator

### I'm trying to solve a matrix using your calc--I was able to follow the steps that were located on the internet, but it does not explain what you will do next. My partners and I have spent hours and we...

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. As to division of matrices, I do not believe that this operation exits.

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: D A T A] 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.

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

### How do i solve matrix equations on my 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.

Mar 01, 2011 | Sharp EL531WBBL Scientific Calculator

### How do I solve a matrix? I have the manual but do not understand it

I will not try to guess what you mean by "solve a matrix", but I believe that what follows will help you.

1. First you must set Matrix calculation: Press [MODE][6:Matrix].
2. 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].
3. Once finished entering the matrix you clear the screen.
4. The operations on A SINGLE matrix are available by pressing [Shift][Matrix].
5. 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).

If you know the theory behind systems of linear equations you can use matrices to solve the systems.

Nov 26, 2010 | Casio FX-115ES Scientific Calculator

### How do I find the solution to a matrix once the coefficients are entered?

I am afraid that "find the solution of a matrix" does not mean anything. However if you want to perform some arithmetic operations on the matrices ( multiplication, addition, subtraction) you can do so using the regular operation keys.
If on the other hand you want to calculate determinants of square matrices, inverse square matrices etc.
Go to the RUN/MAT screen and press [OPTN, then press F2 to open access these operations and this is what you see.

F1 type the MAT identifier in command line
M>L converts a matrix to a list
Det calculates the Determinant of a square matrix
Trn transposes the matrix,
etc.
To invert a square matix, use the [X^-1] key e.g. MatA^-1

Nov 22, 2010 | Casio FX9750GII Graphic Calculator

### How do i solve a matrix?

What do you mean by "solve a matrix"? Find the inverse? Find the determinant? Find the solution to a system of linear equations? Within limits the fx-115ES can do any of these and more.

The procedures are described in the "Matrix Calculations" section of the manual. If you still have problems, please reply to this post specifying what you want to do.

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

### I want to solve my determinent of matrix A

Assuming you have a square matrix in MatA, press SHIFT [MATRIX] 7 SHIFT [MATRIX] 3 EXE

[MATRIX] is the shifted function of the 4 key. MATRIX 7 invokes the determinant function and MATRIX 3 names MatA

Oct 23, 2010 | Casio FX-115ES Scientific Calculator

### It is possible to solve problems with matrix using TI-80?

Hi,
I do not have the calculator, so I checked the whole manual. There is no reference to matrices. So you cannot use use this calculator to solve matrix problems.

Sorry.
That should not prevent you from rating the solution.

Oct 01, 2009 | Texas Instruments TI-80 Calculator

### I want to learn how to solve matrix with my calculator casio fs 115es

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

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

### How do i multiply a (2x2) matrix by a (2x1) in the ti 89

Hello,
The so-called (2x1) matrix is not a matrix. It is a vector.
Hope it helps.

Apr 26, 2009 | Texas Instruments TI-89 Calculator

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