If `A= '[[1,2,3],[3,-2,1], [4, 2, 1]]`, then find `A^2-23A-40 I` where I is Identify Matrix.

If A = [[1,2,3],[3,-2,1],[4,2,1]] , then show that A^3 - 23A - 40I = O

If A = [[2,0,1],[2,-1,3],[1,1,0]] then find A^2-3A+2I .

If A = {:[(1,2,3),(3,-2,1),(4,2,1)] , then show that : A^2 - 23 A - 40 I ne O

If A = {:[(1,-2,3),(0,-1,4),(-2,2,1)] , find (A')^-1

Show that the matrix A = [[2,3],[1,2] satisfies the equation A^2-4A+I = O , where I is 2xx2 identity matrix and O is, 2xx2 zero matrix. Using this equation, find A^-1 .

For the matrix ( A=[[-3,6,0],[4,-5,8],[0,-7,-2]] ), find ( 1/2(A-A') ), where A' is the transpose of matrix A.

If A = [(2,3),(-1,4)] , find 2A

If A = [[1,-2,3],[-4,2,5]] and B = [[2,3],[4,5],[2,1]] , then find AB, BA. Show that AB ne BA

If A = [(2,3),(-1,4)] , find -3A