Given a matrix `A = [(2, -1),(4, 2)]` Find matrix KA, where `K = -1/2`.

If A=[(1,2),(3,4)] , find a matrix B such that AB=I .

Find the sum of matrix A = ((2, -1),(4,6)) and its additive inverse.

If A = [(1, 0),(-1,7)] find K so that A^2 = 8A + KI .

If matrix A=[(1,-1),(-1,1)] and A^(2) = kA , then write the value of k.

If A=[(3,-2),(4,-2)] , find k so that A^2=kA-2I_2 .

Given A=[(1,3),(4,-3)] , find a nonzero column matrix B such that AB=3B .

Compute A^-1 for the matrix A=[[2,3],[5,-2]] and show that A^-1=1/19A .

Show that the matrix A = [[4,1],[-2,3]] satisfy the equation A^(2) - 7A + 14l = O , where l is 2 xx 2 identity matrix and O is 2 xx 2 zero matrix. Using this equation , find A^(-1) .

Let a b a 2 xx 2 matrix and |A| = 7 , find the value of |2A|.

Answer the question If A is a matrix of a order 2 xx 3 and B is a matrix of order 3 xx 5, then what is the order of matrix (AB)' or (AB) ^(T) ?