MATRIX ALGEBRA  Features of Matrix Algebra Software:

The Matrix algebra is a mathematics software for performing algebraic operations on matrix. Assume 2 matrices namely A and B are given. This software facilitates to do operations such as Matrix addition, Matrix subtraction and Matrix multiplication of any order not exceeding 4 x 4. The multiplication support available for both scalar multiplication and vector multiplication. The typical operations, which a user can perform are as given below.

2A  +  5B

23A - 34B

6A   x  5B • Open Genius Maker software and click "Matrix algebra" button. It opens the Matrix algebra window as shown above.
• It automatically shows a mathematical equation in the equation box and numbers in the matrix boxes A and B. These numbers are provided to assist you to quick start Matrix algebra software. You may clear that data by pressing the "Clear data" button and enter a  fresh set of values whenever needed. Similarly you may change the equation also from the top panel.

EXAMPLE - 1

• Let us take an example.
• Set the equation as 1A + 2B
• Define the size of the Matrix-A as 3 x 2
• You may see that the size of Matrix-A changes accordingly.
• Click the "Clear data" button of Matrix - A
• Now enter the values of Matrix - A as below.

5        6

3        2

2        1

• Define the size of the Matrix-B as 3 x 2
• You may see that the size of Matrix-B changes accordingly.
• Click the "Clear data" button of Matrix - B
• Now enter the values of Matrix - B as below.

3        5

1        4

4        2

• Click "Evaluate" button on the equation box.
• You may see that the result appears in the resultant matrix box.

EXAMPLE - 2

• Now let us try an example for matrix multiplication.

• Set the equation as 3A x 4B
• Let us keep the Matrix - A of the previous example same.
• Define the size of the Matrix-B as 2 x 4
• You may see that the size of Matrix-B changes accordingly.
• Click the "Clear data" button of Matrix - B
• Now enter the values of Matrix - B as below.

2        1        5        7

4        6        3        2

• Click "Evaluate" button on the equation box.
• You may see that the result appears in the resultant matrix box as a 3 x 4 matrix.
• Now you may try with different equations, different matrix sizes and values for matrices. The maximum supported size of a row or a column is 4.

• Copying a matrix: Whenever you need to copy any matrix to another one, make use of the "copy" and "paste" buttons suitably. For example, if you want to do some operations on the resultant matrix, which is currently displayed, then press the "copy" button on the resultant matrix box and then click "paste" button of either Matrix - A or Matrix - B based on your need. Similarly you can copy any of the 3 matrix to any other 2 matrices. An exception is that you cannot paste a matrix on to the resultant matrix box.  