Question about Casio FX-115ES Scientific Calculator

# Trying to get the inverse of a matrix

I'm trying to get the inverse matrix of my 3X3 matrix in order to solve a system of equations. If I type MatA^(-1) on my FX-115ES it gives a syntax error? Im trying to multiply MATA^-1 * MATB to solve three variables- I could do this with my TI-85, am I doing something wrong to get it to work on the Casio? thanks

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• Casio Master

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

Posted on Sep 06, 2009

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Posted on Jan 02, 2017

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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].

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### On my ti 84 every time I try to calculate the inverse of my 3x3 matrix it says ERROR: SINGULAR MAT. what should I do?

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Press 1 to enter Run/Matrix screen

Press F1 >MAT. The next screen opens. Enter the dimensions (3x3)

In the template enter the coefficients. Press EXE after each item.

Press the AC button to exit thye matrix editor screen.

Press SHIFT 2 to type the Mat identifier on the command line.
Press the ALPHA key followed by A (if you are working with the A matrix.)
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### I need to enter a 3 x 3 matrix. It is 4 columns and 3 rows. How do I enter it in the TI-83 +?

1. Press [2nd] [X to -1] under [MATH[ to access the (Matrix) menus.
2. Use right arrow to highlight [EDIT]
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7. Press [ENTER].
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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

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
The link is for FX991ES. Look there foe you manual.

Hope it helps

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

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Hello,
You cannot calculate the inverse of an arbitrary matrix. It must be a square matrix (nxn) with non zero determinant. Make sure dimensions m and n are equal. (2x2), (3x3)

To calculate its determinant [Shift][MATRIX] [7:det] [SHIFT][MATRIX][3:MatA] close the right parenthesis and [=].
If determinant is different from zero then you can calculate its inverse.
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For well-behaved matrices you calculate the inverse directly without worrying about the determinant.
Hope it helps.

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