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Introduction to Ad joint and Inverse of a Matrix:
Matrix is a data of numbers set into a permanent number of rows and columns. The matrix contains usually real numbers adjoint of a matrix . It can also contains complex numbers but we find only the real numbers in this topic . Horizontal arrays of a matrix is said to be ROWS and the vertical arrays is said to be COLUMNS. If the matrix having x rows and y columns is have the order of xy.

Ad joint and Inverse of a Matrix::inverse Matrix

The inverse of square matrix nXn matrix A and the another matrix denoted A^-1
AA^-1= A^-1A = I
Example for inverse matrix:
Example 1:
Find the inverse of matrix A

using method 1
Step 1
interchanging the leading diagnols
-7= 2, 2 = -9

Step 2
we changing the signs of the remaining elements, find the list of composite numbers

Step 3
Then find the determinan t
= -14 + 12 = -2
Multiply the result by 1/
A^-1 = 1/
= 1/-2
=
Multiply the original matrix with inverse matrix to get identity matrix (I). then our answer will be correct.
A^-1 A =

=
=
= I
Familiarization with math if the result is identity so our answer is correct.