Question

How to find out inverse of a matrix

Answer 1

STEP.1 CALCULATING THE MATRIX OF MINORS
STEP.2. THEN TURN THAT INTO THE MATRIX OF COFACTORS ,
STEP.3. THEN THE ADJUGATE, AND
STEP.4. MULTIPLY THAT BY 1/DETERMINAT

Answer 2

The following procedure is used to find the inverse of a 2×2 and 3×3 matrix.

The inverse is nothing but the reciprocal of each of the elements in the matrix.  

The below method is used to identify the inverse of a 2×2 matrix

$(a b c d )^{-1}=\frac{1}{(ad-bc)}\ (d -b -c a)$

(ad – bc) = Determinant of the matrix

For a 3×3 matrix, the inverse is given by

$A^1= (\frac{1}{determinant of A}) * Adj (A)$