The document provides a formula and example for calculating the inverse of a matrix. It shows that to find the inverse of a 2x2 matrix A, you calculate the determinant of A as (ad-bc). The adjugate matrix is then calculated as [d -b; -c a]. Finally, the inverse is calculated by dividing the adjugate matrix by the determinant. For the example matrix provided, the inverse is calculated to be 0.9 -0.4; -0.4 0.2.

1. INVERSE OF MATRIX
BY
MUHAMMAD AHSAN KHAN
(38807)

2. INVERSE OF MATRIX
FORMULA:

3. Example
Find inverse of A
LET A= 2 4
4 9
 Determinant = ( ad – bc ) = (2)(9) – (4)(4) =10
 Adj A = d -b = 9 -4
-c a -4 2

4. Example
 Putting the value of determinant and adj A in the formula of A-1
A-1 =1/10 9 -4 = 9/10 -4/10
-4 2 -4/10 2/10
A-1 = 0.9 -0.4
-0.4 0.2