6OO Let A = 1 65 and D = 0 5 0 002 Compute AD and DA. Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Find a 3 x 3 matrix B, not the identity matrix or zero matrix, such that AB=BA. Compute AD AD=0 Compute DA. DA=0 Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Choose the correct answer below. O A. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each row of A by the corresponding diagonal entry of D. Left-multiplication by D multiplies each column of Aby the corresponding diagonal entry of D. O B. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each colurnin entry of Aby the corresponding diezgonal entry of D. OC. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each column of Aby the corresponding diagonal entry of D. Left-multiplication by D multiplies each row of Aby the corresponding diagonal entry of D OD. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each row entry of Aby the corresponding diagonal entry of D. Find a 3 x 3 matrix B, not the identity matrix or zero matrix, such that AB = BA. Choose the correct answer below. There is only one unique solution, B = . OA (Simplify your answers.) OB. There are infinitely many solutions. Any multiple of I, will satisfy the expression O C. There does not exist a matrix, B, that will satisfy the expression.