If `A=[[5,2],[7,3]]` ,then verify that `A.adj A=|A|I,` where I is the identity matrix of order

If A=[[1,0,-32,1,30,1,1]], then verify that A^(2)+A=A(A+I), where I is the identity matrix.

If the matrix A=[[5,3],[12,7]] , then verify that A^2-12-I=O where I is a unit matrix.

If A is a square matrix such that A(a d j\ A)=5I , where I denotes the identity matrix of the same order. Then, find the value of |A| .

" If A=[[1,-2,2],[2,0,-1],[-3,1,1]] and "B" is the adjoint of A then value of |AB-3I| where I is the identity matrix of order 3, is

A matrix of order 3xx3 has determinant 2. What is the value of |A(3I)| , where I is the identity matrix of order 3xx3 .

If A=[[3,1],[7,5]] , verify that A. ("adj " A) = ("adj " A). A= |A|. I.

Let A be a 3xx3 square matrix such that A(a d j\ A)=2I , where I is the identity matrix. Write the value of |a d j\ A| .

Let A and B are two non - singular matrices of order 3 such that A+B=2I and A^(-1)+B^(-1)=3I , then AB is equal to (where, I is the identity matrix of order 3)

If A=[[1,4,0],[5,2,6],[1,7,1]] and A^(-1)=(1)/(36)(alpha A^(2)+beta A+yI), where I is an identity matrix of order 3, then value of alpha, beta, gamma