Question about Casio FX-115ES Scientific Calculator

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

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### k24674

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• Casio Master

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.

Posted on Nov 27, 2010

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## Related Questions:

### How to find rank of matrix using casio991 es??

The FX-991ES offers simple matrix operations like basic arithmetic, plus the slightly more complex operations determinant and inversion. Furthermore, it is limited to matrices with a maximum size of three rows and three columns.

The rank of a matrix is defined as the number of linearly independent row or column vectors. You can perform a simple partial test for square matrices by calculating the determinant of the matrix:
1. Enter the matrix into matrix variable MatA.
2. Press [SHIFT] [4] [7] [SHIFT] [4] [3] [)] [=]
The display now should show det(MatA) and the determinant of the matrix in the result. If the determinant is not 0, the rank of the matrix equals the dimension of the matrix, otherwise the rank is less than the dimension.

Unfortunately, this is all support the calculator offers. For small matrices (i.e. 4x4 or smaller), you should familiarize yourself with the Gau? Elimination Method algorithm for solving linear equation systems. It is a two-step procedure where a matrix first is converted to its row echelon form, and second to row canonical form to solve the LES.
You need to follow the algorithm only through the first part, the number of non-zero rows after this step equals the rank of the matrix. With a little exercise you will be able to do it faster on paper than trying to do it with your calculator only.

For larger matrices I suggest to use a PC with more powerful math software (Maple, Mathematica, ...) or, if you know some basic computer programming, just write the necessary program yourself, which is also a very good exercise both in programming and understanding the algorithm.

Jan 16, 2011 | Casio FX-115ES Scientific 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

### How to input numbers to solve a matrix using a casio fx-115es

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

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

### Matrix

Here is copy of the answer I posted to a question on how to use Matrices. Read it carefully. It helped a few people, and there is no reason why it should not help you too. If after a bona fide effort to understand it you still have a problem, post a comment here. What I am saying, is do not just shoot the answer, try it first.

First you must set Matrix calculation
[MODE][6:Matrix].
1. 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)
2. Once finished entering the matrix you clear the screen.
The operations on a single matrix are available by pressing[Shift][Matrix]. They 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
Operations involving 2 matrices
2. To subtract: MatA-Matb
3. To multiply: MatAxMatB
4. To raise a matrix to a power 2 [x2], cube [x3]
5. To obtain inverse of MatA already defined MatA[x-1] where [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 examples.

Jan 07, 2010 | Casio FX-115ES Scientific Calculator

### How to use matrix in calculater i know to inter in matrix mode but only one data can be inter for eg: {1 1} but i cant 2nd one and muntuply it { 1 2}

Here is copy of the answer I posted to a question on how to use Matrices. Read it carefully. It helped a few people, and there is no reason why it should not help you too. If after a bona fide effort to understand it you still have a problem, post a comment here. What I am saying, is do not just shoot the answer, try it first.

First you must set Matrix calculation
[MODE][6:Matrix].
1. 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)
2. Once finished entering the matrix you clear the screen.

The operations on a single matrix are available by pressing[Shift][Matrix]. They 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
Operations involving 2 matrices
2. To subtract: MatA-Matb
3. To multiply: MatAxMatB
4. To raise a matrix to a power 2 [x2], cube [x3]
5. To obtain inverse of MatA already defined MatA[x-1] where [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 examples.
Hope helps

Dec 17, 2009 | 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

### Trying to get the inverse of a matrix

Hello,

The error may be due to the key you used to signifie inverse. It says in the manual that you should use the key x^-1 not the one used to input general powers.
Here is screen capture from the Appendix to the manual. The picture shows the sequence of keys to press to obtain the inverse of a 2x2 matrix. It is taken from page 41 of Appendix

The matrix used in the exemple is
a_11=2 a_12=1 a_21=1 a_22=2

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

Hope it helps

Jul 13, 2009 | Casio FX-115ES Scientific Calculator

### Weather casio FX-115ES can solve 5*5 matrix

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

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

### I cannot see the channels in my tv

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