`(A^(3))^(-1)=(A^(-1))^(3)`, where A is a square matrix and `|A|!=0`

(A^3)^(-1)=(A^(-1))^3 , where A is a square matrix and |A| ne 0

(aA)^(-1)=(1)/(a)A^(-1) , where a is any real number and A is a square matrix.

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)

Let B=A^(3)-2A^(2)+3A-I where l is an identity matrix and A=[(1,3,2),(2,0,3),(1,-1,1)] then the transpose of matrix B is equal to

If |A|=3 ,where A is square matrix of order 3 ,then find A*adj(A)

If matrix A=[(0,1,-1),(4,-3,4),(3,-3,4)]=B+C , where B is symmetric matrix and C is skew-symmetric matrix, then find matrices B and C.

If matrix A=[(0,1,-1),(4,-3,4),(3,-3,4)]=B+C , where B is symmetric matrix and C is skew-symmetric matrix, then find matrices B and C.