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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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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.

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

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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].
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1 Answer

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

1 Answer

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


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


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1 Answer

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
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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.

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2 Answers

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 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

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

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