Casio FX-115ES Scientific Calculator Logo
hilary Posted on Oct 23, 2011
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Want to calculate the inverse of a 4X4 matrix on a casio 991es

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k24674

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  • Casio Master 8,093 Answers
  • Posted on Jan 05, 2012
k24674
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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.

4 Related Answers

kakima

  • 102366 Answers
  • Posted on May 09, 2011

SOURCE: how to calculate inverse

Press SHIFT [MATRIX], specify the matrix to be inverted, then x^-1.

Example #103 in the appendix shows the exact procedure for inverting the matrix entered in example #096. If you need the manual and the appendix, you can download them from
http://support.casio.com/manualfile.php?rgn=1&cid=004001004

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k24674

  • 8093 Answers
  • Posted on Sep 07, 2009

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

moz-screenshot-1.pngd2bc4ab.jpg
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


k24674

  • 8093 Answers
  • Posted on Dec 23, 2010

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.

Anonymous

  • 37 Answers
  • Posted on Oct 03, 2011

SOURCE: how can i calculate log inverse with my fx-991ES

By 'log inverse', you presumably mean the inverse of the logarithm function. There are two logarithm functions on most scientific calculators. Firstly [ln], or natural logarithms, to the base e, where the inverse is e^x. Secondly [log], or logarithms to the base 10, where the inverse is 10^x.

Example 1 : ln(2) = 0.69314718 so e^0.69314718 = 2
Example 2: log(2) = 0.301029995 so 10^0.30102995 = 2

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The Casio fx-991ES calculator cannot perform 7x7 matrix operations.
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How to calculate adjoint of matrix in casio

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.
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How to find the adjoint of a matrix by 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
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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.
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How to calculate Modular inversion on My Casio

Your calculator cannot perform inverse modulo calculations. To calculate yourself ( with pen and paper) you should consult a book on algebra.
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Where is the inverse button on the casio fx-82ES

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.
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How can i calculate log inverse with my fx-991ES plus

By 'log inverse', you presumably mean the inverse of the logarithm function. There are two logarithm functions on most scientific calculators. Firstly [ln], or natural logarithms, to the base e, where the inverse is e^x. Secondly [log], or logarithms to the base 10, where the inverse is 10^x.

Example 1 : ln(2) = 0.69314718 so e^0.69314718 = 2
Example 2: log(2) = 0.301029995 so 10^0.30102995 = 2
6helpful
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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
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2answers

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.
21helpful
1answer

How to calculate inverse of a 3x3 matrix in casio fx-991MS 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

moz-screenshot-1.pngd2bc4ab.jpg
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


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