For the matrices A and B, verify that `(A B)^(prime)=B^(prime)A^(prime)`, where(i) `A=[1-4 3]`,`B=[-1 2 1]` (iii) `A=[0 1 2]`,`B=[1 5 7]`

For the matrices A and B, verify that (AB)'=B'A', where (i) A=[[1],[-4],[3]], B=[[-1,2,1]]

For each of the following pairs of matrices A and B, verify that (AB)'=(B'A'): (i) A=[{:(1,3),(2,4):}]" and "B=[{:(1,4),(2,5):}] (ii) A=[{:(3,-1),(-2,-2):}]" and "B=[{:(1,-3),(2,-1):}] A=[{:(-1),(2),(3):}]" and "B=[-2" "-1" "-4] (iv) A=[{:(-1," "2,-3),(4,-5," "6):}]" and "B=[{:(" "3,-4),(" "2," "1),(-1," "0):}]

If A=[[-1 ,2, 3],[ 5 ,7, 9],[-2 ,1, 1]] and B=[[-4, 1,-5],[ 1, 2,0 ],[1, 3, 1]] , then verify that (i) (A+B)^(prime)=A^(prime)+B^(prime) (ii) (A-B)^(prime)=A^(prime)-B^(prime)

If A=[[3,4],[ -1,2],[0, 1]] and B=[[-1, 2, 1],[1,2, 3]] , then verify that (A+B)^(prime)=A^(prime)+B^(prime)

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

If A is an 3xx3 non-singular matrix such that A A^(prime)=A^(prime)A a n dB=A^(-1)A^(prime), then B B ' equals: (a) B^(-1) (b) (B^(-1))' (c) I+B (d) I

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

Find the minors and cofactors of elements '-3^(prime),\ \ ^(prime)5^(prime),\ \ -1^(prime)&\ '7' in the determinant |2-3 1 4 0 5-1 6 7|

If U" "={1," "2," "3," "4," "5," "6," "7," "8," "9" "} , A=" "{2," "4," "6," "8} andB" "=" "{" "2," "3," "5," "7} . Verify that (i) (AuuB)^(prime)=A^(prime)nnB^(prime) (ii) (AuuB)^(prime)=A^(prime)uuB^(prime)

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