If `I_3` is the identity matrix of order 3 then `I_3^-1` is (A) 0 (B) `3I_3` (C) `I_3` (D) does not exist

If I_3 is the identily matrix of order 3, then (I_3)^(-1)=

If I_n is the identity matrix of order n then (I_n)^-1 (A) does not exist (B) =0 (C) =I_n (D) =nI_n

If B_(0)=[(-4, -3, -3),(1,0,1),(4,4,3)], B_(n)=adj(B_(n-1), AA n in N and I is an identity matrix of order 3, then B_(1)+B_(3)+B_(5)+B_(7)+B_(9) is equal to

Let A=[1 4 2 3]&A^4-4A^3-5A^2+2I=lambdaI (' I ' is the unit matrix of order 2), then find lambda . 0 (2) 1 (3) 2 (4) -2

Let A=[(0, i),(i, 0)] , where i^(2)=-1 . Let I denotes the identity matrix of order 2, then I+A+A^(2)+A^(3)+……..A^(110) is equal to

If I_3 denotes identity matrix of order 3xx3 , write the value of its determinant.

If A is square matrix such that A^2=A , then (I+A)^3-7A is equal to (A) A (B) I-A (C) I (D) 3A

If for the matrix A ,\ A^3=I , then A^(-1)= (a) A^2 (b) A^3 (c) A (d) none of these

If A=[[2,-1],[-1, 2]] and I is the identity matrix of order 2, then show that A^2=4A-3I Hence find A^(-1) .

If A is a square matrix of order 3 and I is an ldentity matrix of order 3 such that A^(3) - 2A^(2) - A + 2l =0, then A is equal to