If `[ [ 1 , 0 , 0 ] , [ 0 ,1 , 0 ] , [ 0 , 0 , 1 ] ] [ [ a ] , [ b ] , [ c ] ] = [ [ 2 ] , [ 1 ] , [ -3 ] ]` , then find the value of a + b + c

If A = [ [ 0 , 1 ] , [ 0 , 1 ] ] ,then A^2 is equal to ( a ) [ [ 0 , 1 ] , [ 1 , 0 ] ] ( b ) [ [ 1 , 0 ] , [ 1 , 0 ] ] ( c ) [ [ 0 , 1 ] , [ 0 , 1 ] ] ( d ) [ [ 1 , 0 ] , [ 0 , 1 ] ]

If A=[[1, 0, 0], [a, 1, 0], [b, c, 1]] , then A^(-1)=

If A=[[1,4],[2,3]] , and B+A=[[0,0],[0,0]] ,then find the value of B .

If A=[[1,0,0],[0,1,0],[a,b,-1]] , find A^2

Let A = [[0, alpha],[0,0]] and(A+I)^(70) - 70 A = [[a-1,b-1],[c-1,d-1]], the value of a + b + c + d is

Given a skew symmetric matrix A = [ (0, a , 1),(-1, b, 1),(-1, c, 0)] , the value of (a + b + c)^2 is

If a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greratest value of a^(2)b^(2)c^(2) is

If the matrix A = [[0,a,-3],[2,0,-1],[b,1,0]] is skew symmetric, find the value of 'a' and 'b'.

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