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How to multiply matrix on fx-991ES calculator?

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Hi..

Its very easy to do matrix operations in FX 991ES
This calculator can operate up to three Matrices at a time, namely Matrix A (Mat A), Matrix B (MAT B), Matrix C(MAT C).

  1. First to do, is set the calculator in MATRIX Mode
    Its Easy
    Press MODE button and press 6.
    Your Display will show indication of MAT on upper side of screen to show now calculator is in MATRIX Mode

  2. Now we need to Define matrices and set its dimensions.
    This product supports matrix of order up to 3x3. That is you can operate matrix of No. of rows=3 and No. of columns=3
    To input matrix, Press SHIFT and then 4. This will Pop up Menu for Matrix. Now press 1
    Your screen will show as this,
    how to multiply matrix on - nightflare_14.png
    MAT A will be your First Matrix and MAT B will be your Second Matrix and so on.
    Press 1 , 2 , or 3 to select Matrix A , B, or C.
    here I will Proceed with Matrix A, so I press Numerical 1 Key

  3. Next screen will ask you about the size of matrix.

    nightflare_15.png
    Press UP or DOWN Keys to view options.
    nightflare_16.png
    Press Corresponding Numerical keys to select corresponding order.

  4. On Next Screen , enter values on eachhow to multiply matrix on - nightflare_17.pngimg src="http://i.fixya.net/uploads/images/nightflare_17.png" alt="nightflare_17.png" class="h_mi" />
    Press UP, DOWN, LEFT, RIGHT Keys to move around in matrix and specify each element.

  5. Now we inputed Details about Matrix A. If you want to specify other matrices (MATRIX B, MATRIX C) repeat STEPS 2 To STEP 4


  6. After Specifying required Matrices, we can tell calculator to do operations with them.

    Press SHIFT and then 4how to multiply matrix on - nightflare_18.png show a menu contains
    nightflare_18.png

  7. For example, i need to multiply Matrix A with Matrix B, i'll enter as

    SHIFT + 4 + 3 to Input Matrix A

    X
    to enter operator (Here multiplication, You enter + - x / for corresponding arithmetic operations )

    SHIFT + 4 + 4 to Input Matrix B

    = To show Result
    Press UP DOWN LEFT RIGHT Keys to view extra fields, if any.


Hope this will help you.

have a good time with Casio FX 991ES

Posted on Mar 26, 2011

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How to find the adjoint of a matrix by scientific calculator


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How to multiply the matrices using fx-991ms calculator


The following was written for the Casio FX-991 ES. If matrix calculations are available on your calculator you will perform them as described below. ( I have no time to verify that the FX-991ms can perform matrix calculations).

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]
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[2:Data] enter values in a matrix
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[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.
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.

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How do i multiply to 4x4 matrices using fx-991 es ?


The enclosed screen capture shows all the possible dimensions for matrices on the Casio FX-991ES. As you can see the maximum dimension of any matrix is 3. You can only create matrices with dimensions less than or equal to 3.
k24674_3.jpg

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k24674_3.jpg

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Just in case : Press [SHIFT][CLR] (9) [3: ALL] to reset the calculator and try [MODE] again.
If that does not work, your calculator may be defective or a fake (not the genuine article). If at all possible, return it to where you bought it and get a refund.
moz-screenshot.png
Here is a picture of the FX-115ES, its face looks like the 991ES. Hope I am mistaken.

15199ec.jpg

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1 Answer

How to calculate inverse of a 3x3 matrix in casio fx-991MS calculator?


Hello,
Here is the solution for th FX-991ES.
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

moz-screenshot-1.pngd2bc4ab.jpg
The matrix used in the exemple is
a_11=2 a_12=1 a_21=1 a_22=2
Here is the link to download the manual and the appendix

http://support.casio.com/manualfile.php?rgn=1&cid=004001004
The link is for FX991ES. Look there foe you manual.

Hope it helps


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