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How do I find the determinant of a matrix? - Casio FX-9750GPlus Calculator

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Here is a detailed account of how to calculate the determinant of a square matrix.

I assume you know how to define your matrix, but I will repeat it here for others who might not know. You can skip to Calculation
1.Turn Calculator ON. If there are no icons, press [MENU].

Data Entry

2.Use arrows to highlight [MAT] icon. Press [ENTER]
3.Highlight the first line where it says Mat A. Use the right arrow to enter the dimensions of Matrix A. Enter 3 and press [EXE]. The cursor moves to the second dimension. Press 3 and press [ENTER].
4. The matrix entry screen appears.
5. Enter first matrix coefficient a_11 and press [ENTER]
6. Enter a_12 and [ENTER]
.....
Key in last coefficient a_33 and press [ENTER]

Calculation
Press [MENU] and [RUN]
Press [OPTN][F2:MAT][F3:Det] Command echoes on screen as det
Press [F1:Mat] echoes on screen as Mat; screen shows det Mat
Press [ALPHA] A The screen displays det Mat A
Press [ENTER] to calculate the determinant.

If the matrix is not square, you cannot calculate its determinant.

Posted on Jan 09, 2011

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Use the matrix editor to create a 4x4 matrix with 1s along the main diagonal (upper-left to lower-right) and 0s elsewhere. Then use the det() function to calculate the determinant of this matrix.

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How to find the determinant by Sharp ELW516 Scientific Calculator


Press the MODE key. and press 4 for MATRIX.
To enter a matrix press the MATH button and choose 2 for EDIT. Determine the size of your matrix by typing in the row x column value (maximum 4). Then press =. Type in the values in your matrix. After each value press = to move to the next part of the table. Once your matrix is complete press ON and then the MATH button. This time choose 4 for STORE. Select the matrix name you would like to store your matrix in - for example choose 0 for matA. Now press MATH and press the down arrow key once. Select 6 for CALC and choose 0 for det (determinant). Then input the matrix you want the determinant of by pressing MATH and 1 for MATRIX. Select the matrix you would like to work with eg, matA and press then press =.

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How to find rank of matrix using casio991 es??


The FX-991ES offers simple matrix operations like basic arithmetic, plus the slightly more complex operations determinant and inversion. Furthermore, it is limited to matrices with a maximum size of three rows and three columns.

The rank of a matrix is defined as the number of linearly independent row or column vectors. You can perform a simple partial test for square matrices by calculating the determinant of the matrix:
  1. Enter the matrix into matrix variable MatA.
  2. Press [SHIFT] [4] [7] [SHIFT] [4] [3] [)] [=]
The display now should show det(MatA) and the determinant of the matrix in the result. If the determinant is not 0, the rank of the matrix equals the dimension of the matrix, otherwise the rank is less than the dimension.

Unfortunately, this is all support the calculator offers. For small matrices (i.e. 4x4 or smaller), you should familiarize yourself with the Gau? Elimination Method algorithm for solving linear equation systems. It is a two-step procedure where a matrix first is converted to its row echelon form, and second to row canonical form to solve the LES.
You need to follow the algorithm only through the first part, the number of non-zero rows after this step equals the rank of the matrix. With a little exercise you will be able to do it faster on paper than trying to do it with your calculator only.

For larger matrices I suggest to use a PC with more powerful math software (Maple, Mathematica, ...) or, if you know some basic computer programming, just write the necessary program yourself, which is also a very good exercise both in programming and understanding the algorithm.

Jan 16, 2011 | Casio FX-115ES Scientific Calculator

1 Answer

To find the determinant value in a fx991MS calculator


Use the matrix mode in the calculator.
In that mode you will be asked what the order of the matrix. Select the matrix of the desired order. After that you will be asked to enter the elements of the matrix.
Then you will be redirected to your normal screen. Select the shift button and press the button with matrix written on the top of the button. Push that and you will find an option to find the determinant of the given matrix.
Good Luck

Dec 17, 2010 | Computers & Internet

1 Answer

When trying to find the determinant of a matrix when i press OPTN and then F2 the MAT option doesn't come up, as well as F3 with the Det option.


When you press the OPTN key you see Tabs at the bottom of the screen. The second one from the left should be the submenu for matrix operations.. When you press F2:MAT, the new tabs are Mat, M>L (Matrix to List), Det (command to calculate the determinant etc.

Here is a detailed account of how to calculate the determinant of a square matrix.

I assume you know how to define your matrix, but I will repeat it here for others who might not know. You can skip to Calculation
1.Turn Calculator ON. If there are no icons, press [MENU].

Data Entry

2.Use arrows to highlight [MAT] icon. Press [ENTER]
3.Highlight the first line where it says Mat A. Use the right arrow to enter the dimensions of Matrix A. Enter 3 and press [EXE]. The cursor moves to the second dimension. Press 3 and press [ENTER].
4. The matrix entry screen appears.
5. Enter first matrix coefficient a_11 and press [ENTER]
6. Enter a_12 and [ENTER]
.....
Key in last coefficient a_33 and press [ENTER]

Calculation
Press [MENU] and [RUN]
Press [OPTN][F2:MAT][F3:Det] Command echoes on screen as det
Press [F1:Mat] echoes on screen as Mat; screen shows det Mat
Press [ALPHA] A The screen displays det Mat A
Press [ENTER] to calculate the determinant.

If the matrix is not square, you cannot calculate its determinant.

Dec 13, 2010 | Casio FX-9750GPlus Calculator

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How to find determinant


Given a square matrix, you can find its determinant by using the determinant function available through SHIFT 4 7. SHIFT 4 brings up the matrix menu, and 7 selects the determinant function.

Refer to the "Matrix Calculations" section in the manual, beginning on page E-57, and items #096-105 in the appendix. If you've misplaced your manual and/or appendix, you can download them from
http://support.casio.com/manualfile.php?rgn=1&cid=004001004

Dec 12, 2010 | Casio FX-115ES Scientific Calculator

1 Answer

I want to solve my determinent of matrix A


Assuming you have a square matrix in MatA, press SHIFT [MATRIX] 7 SHIFT [MATRIX] 3 EXE

[MATRIX] is the shifted function of the 4 key. MATRIX 7 invokes the determinant function and MATRIX 3 names MatA

Oct 23, 2010 | Casio FX-115ES Scientific Calculator

1 Answer

How to find the determinant


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 A SINGLE matrix are available by pressing [Shift][Matrix]. The choices are
[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

Once you have created a square matrix, for example matA.
You press
[Shift][Matrix] [7:det] [SHIFT][MATRIX][3:MatA], close the parenthesis and press [ENTER].

Aug 17, 2010 | Casio FX-115ES Scientific Calculator

1 Answer

I get a dimension error on my screen from my matrix


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.

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

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