choices are show above For each of the following matrices de

choices are show above.

For each of the following matrices determine whether the matrix is in REF, in REF or in neither RREF nor REF. A = [0 0 0 2 0 0 -1 0 0 3 0 2 4 0 1] B = [0 0 0 1 0 0 0 2 0 3 -5 0 0 0 1] C = [0 0 0 1 0 0 0 1 0 -4 0 0 0 0 1] D = [0 0 0 0 0 0] E = [1 0 0 0 4 0 0 0 -1 -2 0 0 7 6 1 0 3 3 4 -3] F = [1 0 0 0 1 1 0 0 0 0 0 0] G = [0 1 0 1 0 0 0 0 1] H = [0 0 0 0 0 0 1 0 0] J = [0 0 1] K = [1 0 0]

Solution

We say a matrix is in row echelon form (REF) if :-

We say a matrix is in reduced row echelon form (RREF) if:-

So, using these definitions : C, D, F, H, J, K are in RREF

And B, E are in REF but A, G are neither in REF nor RREF.