Matrix A is such that `A^(2)=2A-I`, where I is the identify matrix. Then for `n ne 2, A^(n)=`

Matrix A such that A^(2)=2A-I, where I is the identity matrix,the for n>=2.A^(n) is equal to 2^(n-1)A-(n-1)l b.2^(n-1)A-I c.nA-(n-1)l d.nA-I

Let A be a matrix of order 3 such that A^(2)=3A-2I where, I is an identify matrix of order 3. If A^(5)=alphaa+betaI , then alphabeta is equal to

A square matrix A of order 3 satisfies A^(2)=I-2A , where I is an identify matrix of order 3. If A^(n)=29A-12I , then the value of n is equal to

I^(2) is equal to, where I is identitity matrix.

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| .

A square matrix M of order 3 satisfies M^(2)=I-M , where I is an identity matrix of order 3. If M^(n)=5I-8M , then n is equal to _______.

If I_(n) is the identity matrix of order n then (I_(n))^(-1)=