Question about Casio FX-115ES Scientific Calculator

# Is fx 115ES supports matrix with complex numbers as elements..if not please suggest one...

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• Casio Master

The calculator barely handles matrices of up to 3X3. Matrices with complex coefficients are well beyond its capabilities.

Posted on Oct 13, 2013

• k24674 Oct 14, 2013

Even powerful graphing calculator that have a Computer Algebra System do not handle matrices with comples coefficients. If matrices are not too large (4X4) you may do that by hand. You can also decompose the matrices into real and imaginary parts thus doubling the dimensions of your matrices) to solve a system of linear equations.

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Posted on Jan 02, 2017

According to the manual for the Casio FX115ES, the largest matrix it solves is a 3x3.

Posted on Sep 11, 2008

SOURCE: cofactor matrix

the cofactor (C) of Matrix (A) = (det(a) times (A)^-1)t

Cof A=(detAxA^1)t

Enter a matrix for (MatA) AC
shift 4 7 gives det(_
shift 4 3 shows det(a )<-end Paren
= x shows ansx
shift 4 3 shows ansxMatA -1x
= you'll see a Matrix AC to get out
shift 4 8 gives Trn(
shift 4 6 shows Trn(MatAns) =

The Matrix graph shows all the Cofactors

Posted on Jun 20, 2009

Here check the manual:

http://support.casio.com/manualfile.php?rgn=5&cid=004001004

Posted on Apr 16, 2010

Press MODE 6 to get into matrix mode. Note: do this only once. If you do it again, it will erase all your matrices. Pick the matrix, set its dimension, then the calculator will put up a screen allowing you to enter/edit the matrix elements. At any time you're in matrix mode, press SHIFT 4 to bring up the matrix menu.

All this is explained in the manual beginning on page E-57. If you've misplaced the manual, you can download a copy from
http://support.casio.com/manualfile.php?rgn=1&cid=004001004

Posted on Nov 08, 2010

SOURCE: How i do matrix

1. press mode 2. select the option matrix (6) 3.select matrix A,B or C 4 select (m x n) 5 input matrix 6 repeat steps1-5 if u are using more than 1 matrix. (select another matrix (A,B or C) in step 3) 7 press shift and 4 and select the required functions. (mat A x mat B or det mat A etc..)

Posted on Jan 09, 2011

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## Related Questions:

### Solve complex matrix

This calculator can do some arithmetic with complex numbers, and it can do some operations with matrices. Unfortunately the two do not intersect. You cannot do complex matrix operations with this calculator.
Sorry if that wasn't the answer you wanted to see. That's just the way the calculator works.

Apr 28, 2012 | Casio FX-115ES Scientific Calculator

### How you find the cube root of a complex number (8,60degrees) on the Casio Fx-115ES

You can use the root functions even in COMPLEX Mode, but you cannot feed the root functions a number that is complex.

The case you have given is easy enough to do by hand (see screen capture below.)

May 22, 2011 | Casio FX-115ES Scientific Calculator

### How to do multiplication of two matrixes in casio fx 115es

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.

Apr 24, 2011 | Casio FX-115ES Scientific Calculator

### I can't plug in "i" on my casio fx-115ES even when

By default the calculator only works with real numbers. To use complex numbers, press MODE 2 to switch to complex mode.

Dec 13, 2010 | Casio FX-115ES Scientific Calculator

### How to input numbers to solve a matrix using a casio fx-115es

Press MODE 6 to get into matrix mode. Note: do this only once. If you do it again, it will erase all your matrices. Pick the matrix, set its dimension, then the calculator will put up a screen allowing you to enter/edit the matrix elements. At any time you're in matrix mode, press SHIFT 4 to bring up the matrix menu.

All this is explained in the manual beginning on page E-57. If you've misplaced the manual, you can download a copy from
http://support.casio.com/manualfile.php?rgn=1&cid=004001004

Nov 08, 2010 | Casio FX-115ES Scientific Calculator

### I need to find the cofactor of a matrix using casio fx-115es calculator, i found a post with a solution but at this point: shift 4 3 shows ansxMatA -1x = you'll see a Matrix AC to get out, nothing happens...

Since the largest matrix you can create on the FX-115ES is a 3X3 matrix, I am not sure it is worth it to do it on a calculator.

There is no command on the calculator that allows you to do it.
You can use the calculator to evaluate the minors for each element (the determinant of the matrix that is left when you remove the column and the row that have that element as intersection).
Here is an example how to calculate the cofactor of the _11 element of a 3X3 matrix.

1. I defined a 3x3 matrix called b
2. I defined a submatrix by removing the first row and the first column of the b matrix.
3. The submatrix is called min11.
4. Its determinant is the minor of the _11 element of matrix b.
5. The cofactor cof11 of _11 element of matrix b is the product of (-1) to the the power (1+1) and the minor of the _11 element.
6. The cofactor is represented by the last result to the right of ->cof11, that means b22*b33-b23*b32. The cofactor is a number.
Note: The power of -1 that multiplies the minor of an element is
(-1)^(row number + column number).
coff11=((-1)^2)*det(min11) =det(min11)
cof12=((-1)^(1+2))* det(min12)=-det(min12)
cof13=((-1)^(1+3))*det(min13)= det(min13)
cof21=((-1)^(1+2))*det(min21)= -det(min21)
etc.

Jan 26, 2010 | Casio FX-115ES Scientific Calculator

### I put my MatA and MatB but when I multiply them it displays a dimension erreor

I know this is a long time ago, but i am sure someone might ask eventually this same question.For the Casio fx-115es here are the instructions:go to mode, matrix, and pick the matrix you want to you.. you only have 3 options.create your matrix and press AC.Here is the tricky part, DO NOT go to mode again, that will reset your matrices that you have entered. Instead, press shift and the number 4 key, which is also matrix, go to press 1 (DIM), chose the other matrix to enter, and you can start mult, adding, etc.Any time you want to use the entered matrices, go through the matrix function, not the mode function.

Dec 12, 2009 | Casio FX-115ES Scientific Calculator

### Weather casio FX-115ES can solve 5*5 matrix

According to the manual for the Casio FX115ES, the largest matrix it solves is a 3x3.

Sep 06, 2008 | Casio FX-115ES Scientific Calculator

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