Let A = `((1,-1,0),(0,1,-1),(0,0,1))andB=7A^(20)-20A^(7)+2I,` where I is an identity matrix of order `3 xx 3` if `B = [b_(ij)]` then `b_(13)` is equal to __________ .

Let A = [(1,1,0),(0,1,0),(0,0,1)] and let I denote the 3xx3 identity matrix . Then 2A^(2) -A^(3) =

Let A=[(2,0,7),(0,1,0),(1,-2,1)] and B=[(-k,14k,7k),(0,1,0),(k,-4k,-2k)] . If AB=I , where I is an identity matrix of order 3, then the sum of all elements of matrix B is equal to

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 A=[[1, 0, 0], [0, 1, 1], [0, -2, 4]] and A^(-1)=(1)/(6)(A^(2)+cA+dI) , where c, din R and I is an identity matrix of order 3, then (c, d)=

Let I=((1,0,0),(0,1,0),(0,0,1)) and P=((1,0,0),(0,-1,0),(0,0,-2)) . Then the matrix p^3+2P^2 is equal to

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 Z=[(1,1,3),(5,1,2),(3,1,0)] and P=[(1,0,2),(2,1,0),(3,0,1)] . If Z=PQ^(-1) , where Q is a square matrix of order 3, then the value of Tr((adjQ)P) is equal to (where Tr(A) represents the trace of a matrix A i.e. the sum of all the diagonal elements of the matrix A and adjB represents the adjoint matrix of matrix B)

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