Consider the matrix `A=[(3,1),(-6,-2)]`, then `(I+A)^(40)` is equal to

Consider the matrix A=[{:(2,3),(4,5):}] . Hence , find A^(-1) .

Consider the matrix A=[{:(2,3),(4,5):}] . Show that A^(2)-7A-2I=O

Consider the matrix A=[(x, 2y,z),(2y,z,x),(z,x,2y)] and A A^(T)=9I. If Tr(A) gt0 and xyz=(1)/(6) , then the vlaue of x^(3)+8y^(3)+z^(3) is equal to (where, Tr(A), I and A^(T) denote the trace of matrix A i.e. the sum of all the principal diagonal elements, the identity matrix of the same order of matrix A and the transpose of matrix A respectively)

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 A is a 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 a square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to A(b)I-A(c)I (d) 3A

Let A be a non - singular symmetric matrix of order 3. If A^(T)=A^(2)-I , then (A-I)^(-1) is equal to

If for the matrix A, A^(3)=I , then A^(-1)=

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