(i) `[[2,-1,0,5],[0,3,1,4]]` find the rank of matrices

If A=[[1, 0, 2], [2, 4, 5]] and B=[[1, 2, -1], [0, 1, 3]] , then the addition of matrices obtained by -3R_1 on A and 2C_2 on B gives.

Let A = [[0,1,0],[1,0,0],[0,0,1]] . Then the number of 3 xx 3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is _______.

If A-B^(T){:[(2,3,4,-1),(0,3,-1,5)]:}andA^(T)+B={:[(5,3),(1,0),(2,5),(3,-1)]:} , then find the matrices A and B.

[[2,3,-1,-11,-1,-2,-43,1,3,-26,3,0,-7]] Find rank of this matrix

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

A=[(0,1,0),(1,0,0),(0,0,1)] , number of matrices 'B' which can be formed such that AB=BA where B can have elements {1,2,3,4,5}

Compute the adjoint of each of the following matrices: [[1, 2, 2],[ 2 ,1 ,2],[ 2, 2, 1]] (ii) [[1, 2, 5],[ 2, 3,1],[-1, 1, 1]] (iii) [[2,-1, 3],[ 4, 2, 5],[ 0, 4,-1]] (iv) [[2, 0,-1],[ 5, 1, 0],[ 1, 1, 3]] Verify that (a d j\ A)A=|A|I=A(a d j\ A) for the above matrices.

let A=[[1,0,5],[2,-1,3],[4,1,0]] and B=[[3,2,1],[0,2,1],[3,2,5]] find A',B' and (A+B)' show that (A+B)'=A'+B'

if 2A +B=[{:(5,-1),(3,2):}]and A-2B =[{:(1,-4),(0,5):}] then find the matrices A and B .

Find the transpose of matrices : [(3),(0),(5)]