" (c) "[[2,-1,3],[-5,3,1],[-3,2,3]]" [N.C.E.R.T.Exemplar] "

If A=[[2,-3],[5,-4],[-6,1]],B=[[2,1],[4,-1],[-3,3]] and C=[[1,2],[-1,4],[-2,3]] ,show that (A-C)^T=A^T-C^T

If A=[[1,0,1],[3,1,2]],B=[[2,1,-4],[3,5,-2]], and C=[[0,2,3],[-1,-1,0]], verify that [A+2B+3C]^T=A^T+2B^T+3C^T

If A=[[1, 2, -1], [3, -2, 5]] , then first R_1 harr R_2 and then C_1 to C_1+2C_3 on A gives

If A=[[1,2,-1],[3,-2,5]],then R_1 harr R_2 and C_1 rarr C_1 + 2C_3 gives

If A= [{:(1," 2",-1),(3,-2," 5"):}] , then R_(1) harr R_(2) and C_(1) rarr C_(1) + 2C_(3) given

If A= [{:(1," 2",-1),(3,-2," 5"):}] , then R_(1) harr R_(2) and C_(1) rarr C_(1) + 2C_(3) given

Given that C_1+2C_2x+3C_3x^2++2nC_(2n)x^(2n-1)=2n(1+x)^(2n-1), w h e r eC_r=(2n)!//[r !(2n-r)!]; r=0,1,2, ,2n , then prove that C1 2-2C2 2+3C3 2--2n C2n2=(-1)^nn C_ndot

If A={1,2,3}a n d\ B={1,3,5,7},\ t h e n\ AuuB= {1,2,3,5,7} .

If n-1C_(r)=(k^(2)-3)^(n)C_(r+1), then (a) (-oo,-2](2,oo)(c)[-sqrt(3),sqrt(3)](d)(sqrt(3),2]