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

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 _______.

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 P satisfies P^(2)=I-P where I is identity matrix. If P^(n)=5I-8P , then n is

A square matrix P satisfies P^(2)=I-p where I is the identity matrix and p^(x)=5I-8p, then x

Let A be a square matrix of order 2 such that A^(2)-4A+4I=0 , where I is an identity matrix of order 2. If B=A^(5)+4A^(4)+6A^(3)+4A^(2)+A-162I , then det(B) is equal to _________

If A is a matrix of order 3times3 then |KA|=K^(n)|A| where n is

A square matrix P satisfies P^(2)=I-2P where I is identity matrix. If P^(2)+P^(3)+P^(4)=a^(2)I-b^(2)P ,then

If I_(3) is identity matrix of order 3, then I_(3)^(-1)=