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# Rank of the 4x4 matrix

| 0 3 -9 1 | | 5 9 -10 3 | | -1 0 5 -2 | | 2 1 -3 1 |

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### Shall we find rank of a matrix with casio fx-991ms???????????

This calculator can perform some operations on matrices with dimensions up to 3X3, but it cannot be used to find the rank of a matrix. Sorry.

Feb 25, 2014 | Casio FX991MS Scientific Calculator

### Rank of a matrix

The row rank of a matrix is the maximum number of linearly independent rows.
The column rank of a matrix is the maximum number of linearly independent columns.
However, it can be shown that for any matrix A,
row rank (A)=column rank (A).
It is called the rank of A. The rank of an mXn matrix is less than the minimum of m and n
rank( A) less than or equal to min( m,n)
Note. This calculator cannot determine for you the rank of a matrix. The matrix operations available on this calculator are limited, and the calculator cannot handle matrices with dimensions higher than 3X3

Dec 15, 2013 | Casio FX570ES Scientific Calculator

### 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

### How can I to control multiple HDTVs in several different rooms via a HDMI matrix switch?

There are HDBaseT HDMI Matrix solutions for applications like yours. I would recommend to visit KVMSwitchTech as they offer a wide range of 4x4 HDMI Matrix and 8x8 HDMI Matrix solutions with HDBaseT support and zone remotes.

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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 &...

### 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

### 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

### How can I calculate rank of a matrix using algebra FX 2.0PLUS?

Hello,
The Algebra FX 2.0 does matrix operations. The relevant chapters in the manual are Chapter 2 and Chapter 8.Here is the link.

Hope it helps.

Jul 03, 2009 | Casio Algebra FX 2.0 Calculator

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