[[2,1,3],[4,-1,0],[-7,2,1]]

If A+B=[[1,2,1],[1,1,-1],[-3,2,4]] and A-B=[[-2,3,7],[-4,1,0],[2,4,1]] then 2A+4B equals

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

find the rank of [[2,-4,3,-1],[1,-2,-1,-4],[0,1,-1,3],[4,-7,4,-4]]

" (b) Find the rank of the matrix : "A=[[2,1,4,7],[3,6,2,1],[0,0,1,5]]

(a) Find the rank of the matrix [[2,1,4,7],[3,6,2,1],[0,0,1,5]]

Find A if [[1,0,-1],[-2,-1,4],[-1,0,2]]A = [[-1,-2,2],[3,4,-3],[3,4,-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]]

The inverse of the matrix [[3, -2, -1], [-4, 1, -1], [2, 0, 1]] is a) [(1,2,3),(3,3,7),(-2,-4,-5)] b) [(1,-3,5),(7,4,6),(4,2,7)] c) [(1,2,3),(2,5,7),(-2,-4,-5)] d) [(1,-3,5),(7,4,6),(4,2,-7)]

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