Question about Casio FX9750GII Graphic Calculator

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Posted on Jan 02, 2017

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SOURCE: 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

Here is the link to download the manual and the appendix

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

Hope it helps

Posted on Sep 06, 2009

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SOURCE: how to calculate inverse of a 3x3 matrix in casio

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

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

Posted on Sep 07, 2009

SOURCE: In casio fx-991ES, i am

This post is rather exhaustive as regards the matrix capabilities of the calculator. So if the post recalls things you already know, please skip them. Matrix multiplication is at the end.

Let me explain how to create matrices. (If you know how to do it, skip
to the operations on matrices, 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 matrix to a power 2 [x2], cube [x3]

To obtain inverse of a SQUARE MatA already defined MatA[x-1]. The key [x-1] is the x to
the power -1 key. If the determinant of a matrix is zero, the matrix is singular and its inverse does not exit.

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 numbers). 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** matrix 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 Dec 23, 2010

SOURCE: how can i calcute inverse

First you have to create it.

Press the [MAT] icon to open the Matrix editor.

(The screen captures below may not look exactly as on your calculator but they are correct.)

On line Mat A use the right arrow to enter one dimension. Press EXE.

Enter the second dimension and press EXE. See screen captures

Enter the coefficients, pressing EXE each time to validate.

Once you finish entering the coefficients, press the menu key to exit the editor.

select [RUN] and press EXE.

In RUN screen press [OPTN], then [F2:Mat] (See screen capture)

The following screen is displayed. (Ignore the command Del Mat A, I used it to verify that the matrix has a non-zero determinant.)

Press [F1: Mat] to type the MAT identifier.

Press [ALPHA] A to type in the name of the matrix (here it is A.)

To calculate the inverse you must use the sequence [SHIFT] [ ) ] to activate (x^-1).

Both commands ** (Mat A)^-1** and** Mat A^-1** on the preceding screen give the same result, the inverse of A. An here it is.

Once you enter the command press EXE, the calculator says DONE and displays the result

Posted on Jun 26, 2011

SOURCE: how do i find the

Once the matrix is created you can use the reciprocal key to get the inverse.

I hope you will not hold against me if I showed the whole porocess. (No reflexion on your or anybody's abilities to create a matrix. Just trying to be helpful to more people.)

Press Menu to display icons.

Press 1 or use Arrows to highlight Run/Mat.Press EXE

Press the F1 key to activate the Mat TAB.

While a matrix label is higlighted press F3:Dim to enter the dimensions.

Matrix must be square.

Fill her up!

Press EXE after entering the last element.

Then press EXIT to return to the Run/Mat Screen.

In Run/Mat screen press the OPTN key. Press F1 to enter the Mat identifier

followed by [ALPHA] A (if the matrix you created is stored in A)

At this point the screen displays Mat A.

Any of the continuations of the command shown below will yield the inverse matrix.

The minus sign you see in the 2nd and 3rd commands below is the change sign (-)

For the bogus 2X2 matrix I entered, the result is as follows.

Notice that even if inside the answer matrix the elements are displayed as decimals, the

values you will see at the bottom are exact fractions.

Posted on Aug 27, 2011

Check the calculator with a simple 2X2 matrix that you can invert by hand easily and see if it gives you the wrong inverse for it. It is also possible that YOU made the mistake.

Jan 03, 2016 | Casio FX-9750GII Graphing Calculator

You have the relation [A]^-1 **(inverse of A) =Adj([A])/det([A])**

Create a square matrix [A]

Calculate its determinant det(A) and store it in some variable (why not D). Calculate the inverse of A. Multiply the result by the determinant.

Create a square matrix [A]

Calculate its determinant det(A) and store it in some variable (why not D). Calculate the inverse of A. Multiply the result by the determinant.

Jun 12, 2014 | Casio FX-115ES Scientific Calculator

Adjoint of a square (non singular matrix) = product of the determinant of matrix by the inverse of matrix. **Adjoint([A])= det( [A]) * [A]^-1**.

To get the inverse of a matrix, have its name displayed on command line then press the reciprocal key [x]^-1

To get the inverse of a matrix, have its name displayed on command line then press the reciprocal key [x]^-1

May 23, 2014 | Casio Fx-991es Scientific Calculator

For the reciprocal of a number, enter the number then press the key marked with an x^-1. You might have to use the SHIFT key first. For inverse of trigonometric functions use the SHIFT key followed by the function name. The inverse of LN is e^x. The inverse of log is 10^x. To calculate the inverse of a matrix, enter the name of the (already created) square matrix then press x^-1.

Jan 09, 2012 | Casio FX-115ES Scientific Calculator

Once the matrix is created you can use the reciprocal key to get the inverse.

I hope you will not hold against me if I showed the whole porocess. (No reflexion on your or anybody's abilities to create a matrix. Just trying to be helpful to more people.)

Press Menu to display icons.

Press 1 or use Arrows to highlight Run/Mat.Press EXE

Press the F1 key to activate the Mat TAB.

While a matrix label is higlighted press F3:Dim to enter the dimensions.

Matrix must be square.

Fill her up!

Press EXE after entering the last element.

Then press EXIT to return to the Run/Mat Screen.

In Run/Mat screen press the OPTN key. Press F1 to enter the Mat identifier

followed by [ALPHA] A (if the matrix you created is stored in A)

At this point the screen displays Mat A.

Any of the continuations of the command shown below will yield the inverse matrix.

The minus sign you see in the 2nd and 3rd commands below is the change sign (-)

For the bogus 2X2 matrix I entered, the result is as follows.

Notice that even if inside the answer matrix the elements are displayed as decimals, the

values you will see at the bottom are exact fractions.

I hope you will not hold against me if I showed the whole porocess. (No reflexion on your or anybody's abilities to create a matrix. Just trying to be helpful to more people.)

Press Menu to display icons.

Press 1 or use Arrows to highlight Run/Mat.Press EXE

Press the F1 key to activate the Mat TAB.

While a matrix label is higlighted press F3:Dim to enter the dimensions.

Matrix must be square.

Fill her up!

Press EXE after entering the last element.

Then press EXIT to return to the Run/Mat Screen.

In Run/Mat screen press the OPTN key. Press F1 to enter the Mat identifier

followed by [ALPHA] A (if the matrix you created is stored in A)

At this point the screen displays Mat A.

Any of the continuations of the command shown below will yield the inverse matrix.

The minus sign you see in the 2nd and 3rd commands below is the change sign (-)

For the bogus 2X2 matrix I entered, the result is as follows.

Notice that even if inside the answer matrix the elements are displayed as decimals, the

values you will see at the bottom are exact fractions.

Aug 26, 2011 | Casio FX9750GII Graphic Calculator

Create the Matrix in the Run/Mat screen

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.)

At this point you have**Mat A** on the command line.

Press** SHIFT )** to get the x^-1 function. That is the one that calculates the inverse of a Matrix.

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.)

At this point you have

Press

Nov 17, 2010 | Casio FX9750GII Graphic 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

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

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

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

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

Sep 04, 2009 | Casio FX-115ES Scientific Calculator

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

Here is the link to download the manual and the appendix

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

Hope it helps

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

Here is the link to download the manual and the appendix

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

Hope it helps

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

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.

If matrix MatA has already been defined, you calculate its inverse as follows;

[SHIFT][MATRIX][3:MatA] [X^-1][=]. Use the X to -1 power , the one under [MODE].

For well-behaved matrices you calculate the inverse directly without worrying about the determinant.

Hope it helps.

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.

If matrix MatA has already been defined, you calculate its inverse as follows;

[SHIFT][MATRIX][3:MatA] [X^-1][=]. Use the X to -1 power , the one under [MODE].

For well-behaved matrices you calculate the inverse directly without worrying about the determinant.

Hope it helps.

Apr 16, 2009 | Casio FX-115ES Scientific Calculator

May 20, 2014 | Casio FX9750GII Graphic Calculator

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