If `A=[[1,2],[0,1]]`, then `A^T` is

If P= [[sqrt(3)/2, 1/2],[-1/2 , sqrt(3)/ 2]], A = [[1,1],[0,1]]and Q= PAP^(T) , the ltbr. P^(T)(Q^(2005)) P equal to

If A=[[7,-2],[-1,2],[5,3]] and B=[[-2,-1],[4,2],[-1,0]] then find AB^(T) and BA^(T)

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

If A=[[1,0,1],[0,2,0],[1,-1,4]],A=B+C,B=B^(T) and C=-C^(T) , then C=

If the matrices A = [{:(2,1,3),(4,1,0):}] and B = [{:(1,-1),(0,2),(5,0):}] , then (AB)^T will be

If P =[(3,4),(-1,2),(0,1)] and Q = [(-1, 2,1),(1,2,3)] , then (P^(T) + Q)=

Let A=[[1,-1, 0],[ 2, 1, 3],[ 1, 2, 1]] a n d B=[[1 ,2, 3],[ 2, 1, 3],[ 0, 1, 1]]dot Find A^T ,B^T and verify that (i) (A+B)^T=A^T+B^T (ii) (A B)^T=B^T A^T (iii) (2A)^T=2A^T

If : A=[1 2 0-1 1 2 2-1 1],t h e nA d j(A)= [3 5-1-2 1 5 4-2 3] (b) [3-5 1 2-1 5 4 2 3] [2-2 4 5 1-2-1 5 3] (d) None of these

If A & B are square matrices of order 2 such that A+adj(B^T)=[[2,1],[1,2]] & A^T-adj(B)=[[0,1],[1,0]] then

If A^T=[(-2,3),(1,2)] and B =[(-1,0),(1,2)] ,then find (A +2B)^T .