A=[[-2,1],[4,0],[-1,4]],f=[[-7,5,1],[4,0,1]]" men tind "2A+M

If A=[[1,0,5],[3,2,7],[5,4,8]],B=[[3,1,2],[9,0,-6],[7,4,1]],C=[[2,0,-1],[7,5,6],[1,1,4]] , verify that A+(B+C)=(A+B)+C

If A=[[2,5,6] , [0,1,2]], B =[[6,1] , [0,4] , [5,7]] then verify that (AB)'=B'A'

If A=[[1,4],[0,5],[6,7]] and B=[[2,3,-1],[1,0,-7]] , verify that (AB)\'=B\'A\'

If A=[[1,4],[0,5],[6,7]] and B=[[2,3,-1],[1,0,-7]] , verify that (AB)\'=B\'A\'

abs(A)=abs([2,1,-4],[1,5,0],[-2,4,7])

If A= [[7,2],[-1,4]] and I= [[1,0],[0,1]] show that (A-5I) (A-6I)=0

If A = [[3,1,],[4,0]] , B = [[4,0],[2,5]] then verify that (AB)^-1 = B^-1A^-1 .

Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]] (ii) [[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]

Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]] (ii) [[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]

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