Let matrix A = `[[1,0,0],[25,1,0],[25,0,1]]` and a matrix B of third order with its columns as `B_1`,`B_2`,`B_3` be such that `AB_1`=`[[1],[25],[25]]`, `AB_2` = `[[0],[1],[0]]`, and `AB_3` = `[[0],[0],[1]]`. Find `det(adj B)`.

If A=[[0,1],[1,0],[0,1]] and B=[[0,1,2],[2,1,0]], find AB

If A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] find AB and BA.

If A=[[0,-1],[0,2]] and B=[[3,5],[0,0]], then find A.B and B.A

Let A = [[1,0,0],[1,0,1], [0,1,0]] " satisfies " A^(n) = A^(n-2) + A^(2 ) -I for nge 3 and consider matrix underset(3xx3)(U) with its columns as U_(1), U_(2), U_(3), such that A^(50)U_(1)=[[1],[25],[25]],A^(50) U_(2)=[[0],[1],[0]]and A^(50) U_(3)[[0],[0],[1]] The value of abs(A^(50)) equals

Let A = [[1,0,0],[1,0,1], [0,1,0]] " satisfies " A^(n) = A^(n-2) + A^(2 ) -I for nge 3 and consider matrix underset(3xx3)(U) with its columns as U_(1), U_(2), U_(3), such that A^(50)U_(1)=[[1],[25],[25]],A^(50) U_(2)=[[0],[1],[0]]and A^(50) U_(3)[[0],[0],[1]] The value of abs(U) equals

1.If A=[[2,0,1],[-1,1,5]] and B=[[-1,1,0],[0,1,-2]] then find (AB')' .

If A=[[1,1],[0,1]],B=[[0,1],[1,0]] then AB=

If A=[[1,2,11,-1,12,3,1,4,0-1,2,20,0,2]] find the matrix AB-2B

if A=[[2,5],[0,0]] and B=[[5,0],[-2,0]] then AB=...

Let A = [[1,0,0],[1,0,1], [0,1,0]] " satisfies " A^(n) = A^(n-2) + A^(2 ) -I for nge 3 and consider matrix underset(3xx3)(U) with its columns as U_(1), U_(2), U_(3), such that A^(50)U_(1)=[[1],[25],[25]],A^(50) U_(2)=[[0],[1],[0]]and A^(50) U_(3)[[0],[0],[1]] Trace of A^(50) equals