" 4."(a)A=[[2,0,-1],[5,1,0],[0,1,3]]

If A=[[2,0,-1],[5,1,0],[0,1,3]] , prove that : A^-1=A^2-6A+11I

Find the inverse of the following matrix if it exists. [[2,0,-1],[5,1,0],[0,1,3]]

Using elementary transformations find the inverse of [[2,0,-1],[5,1,0],[0,1,3]]

If A=[[1,0,-2],[3,-1,0],[-2,1,1]],B=[[0,5,-4],[-2,1,3],[-1,0,2]] and C=[[1,5,2],[-1,1,0],[0,-1,1]] verify that A(B-C)=(AB-AC)

If A=[[1,0,-2],[3,-1,0],[-2,1,1]],B=[[0,5,-4],[-2,1,3],[-1,0,2]] and C=[[1,5,2],[-1,1,0],[0,-1,1]] verify that A(B-C)=(AB-AC)

Using elementary transformations, find the inverse of the matrices A=[(2,0,-1),(5,1,0),(0,1,3)]A^-1=?

If A=[[0,0,1],[0,1,0],[1,0,0]],B=[[0,5,7],[0,0,6],[0,0,0]] and C=[[-1,3,5],[1,-3,-5],[-1,3,5]] , show that B^4=O

Rank of the matrix [[3,0,2], [-1,1,0],[5,2,3]] is (1) 1 (2) 2 (3) 3 (4) 4