If `A=[(2,3),(5,-7)]` then prove that `(A^(2))'=(A')^(2)`

If A=[[2,1],[3,7]] and B=[[-1,2],[3,5]] ,then prove that (AB)'=B'A'

If U={2,3,5,7,9} is the universal set and A={3,7},B={2,5,7,9}, then prove that: (A uu B)'=A'nn B'( ii) (A uu B)'=A'uu B'

Prove that .^(7)C_(2)+^(7)C_(3)=^(8)C_(3)

If A=[[1,0,20,2,12,0,3]], prove that A^(3)-6A^(2)+7A+2I=0

If A^(-1)=([5,7],[2,3]), then A is

If A = { 1 , 2 , 3 , 4 , 5 , 6 , 7 ] And B = { 2 , 3 , 5 , 7 } Then prove that A ∩ B = B

For all positive integer n, prove that (n^(7))/(7)+(n^(2))/(5)+(2)/(3)n^(3)-(n)/(105) is an integer

Prove that 1+3+5+7......+(2n+1)=(n+1)^(2)

In Fig. 7.86, if D and E trisects BC. Prove that 8AE^(2) = 3AC^(2) + 5AD^(2) .

The series 1*3^(2)+2*5^(2)+3*7^(2)+