Question about Casio FX-115ES Scientific Calculator

# Matrix How do I use the matrix mode on the casio fx -115 es

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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 (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 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.

Posted on May 08, 2010

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Posted on Jan 02, 2017

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## Related Questions:

### When i press MODE there is no choice 6 [Matrix] and i want to multiple matrices there are only 3 choices 1: COMP, 2:STAT, 3: TABLE.

You are confusing this calculator with one of its more sophisticated brothers (FX 115 ES Plus or FX991ES plus). The 82 ES plus has only three modes.

Jun 02, 2015 | Casio FX82ES Scientific Calculator

### Calculate the inverse of a 4X4 matrix on fx-570ms

The Casio FX-570MS does not handle matrices. So you cannot create matrices, let alone invert them. Sorry.
The Casio FX115 ES handles matrices for up to 3X3 dimension. Create the matrix.Have its name displayed on the command line and press the [x^-1] (reciprocal ) key.

Apr 16, 2014 | Casio FX-115ES Scientific Calculator

### Which model of casio csn do integration in limits

The Casios FX-115 ES , FX-115 ES PLus, FX-991 ES, FX-991 ES Plus C can perfom numerical differentiation at a point, and numerical integration between two given limits.

Aug 12, 2013 | Casio FX991ES Scientific Calculator

### How to calculate inverse of the matrix with 991 ES calculator ?

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

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

### How to do x=BA^-1, in order to solve a system of equations 3x3 with a Casio FX-115 ES

Let your system of linear equations be [A][X]=[B] where [A] is a 3x3 matrix, [X] is column vector ( a 3x1 matrix) , and [B] is also a column vector or (3x1) matrix.

Assuming you are able to invert the [A] matrix to find [A^-1].
Multiplying on the keft by [A^-1] the system of equations you get
[A^-1].[A][X]=[A^-1][B].
But since the product [A^-1][A] is the (3x3) Identity matrix, the left side of the equation is jut [X], while the right side is [A^-1][B]. As you can see it is not [B][A^-1] .
To solve your problem, you should define your [A] matrix, define the [B] column vector (3x1) matrix, then perform the operation [A^-1][B] using the [X to -1] power key to calculate the inverse [A^-1].

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

### How i do matrix equations on my fx-115ES 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

### 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

### How to get the inverse of a matrix an fx-991 ES calculator

The same way you would get the inverse of a number. Assuming you already have the matrix entered into memory, press SHIFT 4 to bring up the matrix menu, select the matrix whose inverse you want, then press the x^-1 key (just to the right and slightly below the big round cursor pad.

Nov 02, 2010 | Casio FX-115ES Scientific Calculator

### My calculator fx-991 Es is showing either syntax error or dimension error while finding out the inverse of the matrix although the matrix is a square one

How about recreating the error and reporting faithfully the error message? You get a syntax error if you try to invert a matrix by using the wrong key sequence such a
[SHIFT][MATRIX][3:MatA][X to ] -1), meaning that you use the universal power key on the same row as X squared and log and between them.
To calculate the inverse of a matrix, have the name of the matrix on the command line, (see above) then press [X to -1] key one row up from [log].

Concerning your implied affirmation that if the matrix is square you should not be getting any error: You will get an error ( a Math error) if determinant of the matrix is equal to zero.

Mar 13, 2010 | Casio FX-115ES Scientific Calculator

### How do i do a matrix problem in my casio fx 115 es, i don't get to work manual instruccions with my book problems

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 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)

Hope helps

Oct 11, 2009 | Casio FX-115ES Scientific Calculator

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