If Aij is the cofactor of the element aij of \(\begin{bmatrix}2 & -3

1.	If Aij is the cofactor of the element aij of \(\begin{bmatrix}2 & -3 & 5 \\[0.3em]6 & 0 & 4 \\[0.3em]1 & 5 & -7\end{bmatrix}\) then write the value of (a32 A32).
Answer» Theorem: A_ij is found by deleting i^th rowand j^th column, the determinant of left matrix is called cofactor with multiplied by (-1) (i+j). Given: i = 3 and j = 2. A₃₂=(-1)⁽³⁺²⁾(2 × 4-6 × 5) =-1 × (-22) =22 a₃₂=5 a₃₂A₃₂= 5 × 22 =110

If Aij is the cofactor of the element aij of \(\begin{bmatrix}2 & -3 & 5 \\[0.3em]6 & 0 & 4 \\[0.3em]1 & 5 & -7\end{bmatrix}\) then write the value of (a32 A32).

Answer»

Theorem: A_ij is found by deleting i^th rowand j^th column, the determinant of left matrix is called cofactor with multiplied by (-1) (i+j).

Given: i = 3 and j = 2.

A₃₂=(-1)⁽³⁺²⁾(2 × 4-6 × 5)

=-1 × (-22)

=22

a₃₂=5

a₃₂A₃₂= 5 × 22

=110