Let `A=[[2,4],[-1,-2]]`,then the value of `det(1+2A+3A^(2)+4A^(3)+5A^(4)+...+101A^(100))` equals (where `I` is the identity matrix of order 2)

If A=[[1,23,4]] then 8A^(-4) is equal to (I is an identity matrix of order 2)

Let A=[(2,3),(0,-1)] , the value of det(A^4)-det(A^10-adj(2A)^10))

Let A and B are two non - singular matrices of order 3 such that |A|=3 and A^(-1)B^(2)+2AB=O , then the value of |A^(4)-2A^(2)B| is equal to (where O is the null matrix of order 3)

If A= [[1,2],[-3,-4]] and l is the identity matrix of order 2 then A^(2) equals "

If A=[[-2,1],[-5,4]] then the Eigen values of of B, where B= 3A^(-1)+3A+2I ,is

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,-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 .

Let A= [[1,0,2],[2,0,1],[1,1,2]] then det((A-I)^(3)-4A) is

If A=[[1,-3,22,0,-11,2,3]], then show that AA^(3)-4A^(2)-3A+11I=0 where O and I are null and identity matrix of order 3 respectively.