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How do i calculate the determanent of a matrix? when it is a 4X4?

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Hello,
Once matrix is defined, press [MENU][RUN]. Press [OPTN][F2:MAT][F3:Det][EXE]. Command echoes on Run screen as det . Press [F1:Mat] the identifier Mat echoes on screen which now displays det Mat . Press [ALPHA] A if the name of matrix is A. On screen det Mat A. Press [EXE] to get the determinant.
Hope it helps.

Posted on Oct 03, 2009

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1 Answer

Calculate the inverse of a 4X4 matrix on fx-570ms


The Casio FX-570MS does not handle matrices. So you cannot create matrices, let alone invert them. Sorry.
The Casio FX115 ES handles matrices for up to 3X3 dimension. Create the matrix.Have its name displayed on the command line and press the [x^-1] (reciprocal ) key.

Apr 16, 2014 | Casio FX-115ES Scientific Calculator

1 Answer

L want to know an example of a4 by 4 matrix determinant


One example: the determinant of a 4x4 identity matrix is 1.

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.

Sep 07, 2013 | Texas Instruments TI-83 Plus Calculator

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Rref for 4X4 matrix does not answer correctly


To make sure that the calculator is misbehaving, I suggest that you create a simple 4X4 matrix, that is not singular, and calculate it reduced row echelon form by hand, then use the calculator to perform the reduction. You can also generate a random 4x4 matrix and calculate the rref forms by hand and with the calculator. If the calculator is defective, try to upgrade the OS. If it is still defective, well, the deck is stacked aaginst you. It may then be time to get another one or to send it for repairs.

Jan 18, 2012 | Texas Instruments Office Equipment &...

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Want to calculate the inverse of a 4X4 matrix on a casio 991es


Sorry, this calculator can handle matrices with dimensions ranging from 1X1 up to 3X3 . To deal with 4X4 matices you need a graphing calculator such as the CASIO FX-9570G Plus, the Ti83Plus.

Oct 23, 2011 | Casio FX-115ES Scientific Calculator

1 Answer

How to do matrix multiplication in scientifically calculator


Here is an account of what you can do with matrices on this scientific calculator. Certain precautions must be taken as concerns the dimensions of the matrices. Refer to your text book on matrix algebra.
On this calculator the largest matrices you can define have dimensions 3X3.
  1. First you must set Matrix calculation: Press [MODE][6:Matrix].
  2. 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].
  3. Once finished entering the matrix you clear the screen.
  4. The operations on A SINGLE matrix are available by pressing [Shift][Matrix].
  5. 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].

If you have defined two similar matrices (same number of row and same number of columns) you can ADD them or subtract them. The operation keys are Plus and Minus as for any number.
To multiply you use the multiplication sign. The matrices must be compatible (mxn) multiplied by (nxk).

Aug 10, 2011 | Casio FX-115ES Scientific Calculator

1 Answer

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

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

Dec 01, 2010 | Casio FX-115ES Scientific Calculator

2 Answers

How do you use a fx-9750GII calculator and inverse matrix to solve the linear system:\r\n w+x+y+z=10 w+2y+z=7 w+x+3y+z=8 w+x+4y+4z=16


One not way would be to define a 4x4 matrix Mat A to hold the coefficients of the linear system. Then define a 4x1 column vector Mat V to hold the constants on the right.
Define a third 4x4 matrix Mat B you may leave filled with 0.
On command line, in Run Mat screen enter (Mat A) ^(-1) and store it in the zero-filled matrix Mat B. this is the inverse of Mat A.
If the inverse of Mat A exists, and it does in this case, the solution of the system is obtained as the column vector, resulting from the multiplication of Mat B by column vector Mat V

You can even shorten the procedure by just calculating ((Mat A)^-1)X (Mat V) [EXE]

To summarize
  1. Create 4x4 Mat A and type in the coefficients of the linear system.
  2. Create a 4x1 column vector Mat V for the right-hand sides
  3. Obtain you solution vector as ((Mat A)^-1)X (Mat V) [EXE]
To get the Mat identifier on command line,
  • use catalog or
  • in RunMat screen, press [OPTN] followed by [F2:Mat], then [F1:Mat].
  • At this point the identifier is on command line, and you have to press [ALPHA] [X,Theta, T] to enter letter A.
  • You use a similar key sequence to enter Mat V
To calculate the inverse of the matrix just use the [SHIFT][)] key sequence which is (X^-1)
Multiplication operator is the regular [times] key.

Nov 16, 2010 | Casio FX-9750GPlus Calculator

1 Answer

How do get the determinant from a 4 x 4 matrix


To create the matrix (in case you do not know.)

  1. Press [2nd][X^-1] to access the (MATRIX) menus.
  2. Use the right arrow key to move to the tab [EDIT]
  3. Under tab EDIT, press 1 to name the matrix as [A]
  4. A matrix template opens (default dimensions are 1x1)
  5. Change the dimensions to 4x4: Press digit 4 key and ENTER. Cursor move to 2nd dimension. Type in 4 and press [ENTER] to validate.
  6. The matrix template changes: screen shows a matrix, filled with 0.
  7. Enter the value of each coefficient and press [ENTER]. The cursor move to next coefficient.
  8. After you validate all values, press [2nd][MODE] to (QUIT) the matrix editor.
To calculate the determinant of a matrix that is already defined.
  1. In main calculator screen press [2nd][X^-1] to open the (MATRIX) functions.
  2. Use the right arrow once to highlight the [MATH] menu.
  3. Select [1:det(] and press [ENTER]
  4. The command det( echoes on main screen.
  5. Press [2nd][X^-1] to opent the (Matrix) menus again.
  6. Select the number in list that corresponds to your matrix (presumably 1:[A]) and press [ENTER]
  7. The command line shows det( [A]
  8. Complete the command by closing the parenthesis and pressing [ENTER]
  9. Wait for the result to be displayed.

Nov 01, 2010 | Texas Instruments TI-83 Plus 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

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