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Inverse matrix

Inverse Matrix (A^-1) is an important tool in the mathematical world. It is used in solving a system of linear equations. Inverse matrices are frequently used to encrypt or decrypt message codes.

MATRIX 2X2
MATRIX 3X3

Follow these five steps:

1. Matrix of minors

2. Matrix of cofactors

3. Transpose

4. Determinant

5. Inverse matrix 3x3

Step 1. Matrix of minors

iv 3x3.1.jpg

Step 2. Matrix of cofactors: This is easy! Just apply a "checkerboard" of minuses to the "Matrix of Minors". In other words, we need to change the sign of alternate cells, like this:

iv 3x3.2.jpg

Step 3. Transpose: Now "Transpose" all elements of the previous matrix... Rows become columns or columns become rows.

iv 3x3.3.jpg

Step 4. Determinant: It is 10

Step 5. Inverse Matrix:

 

        

 

iv 3x3.5.jpg

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