help please Linear Algebra

1 70 0 Let A = 1 4 6 and D = 050 . Compute AD and DA. Explain how the columns or rows of A change when A is multiplied by Dion the right or on the left. Find a 3x3 matrix B, not the identity matrix or zero matrix, such that AB = BA. 167 0 04 Compute AD. AD = Compute DA. DA = 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 A by the corresponding diagonal entry of D. O B. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each column of A by the corresponding diagonal entry of D. Left-multiplication by D multiplies each row of A by the corresponding diagonal entry of D. O C. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each column entry of A by the corresponding diagonal entry of D, O D. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each row entry of A by 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. A. There is only one unique solution, B = (Simplify your answers.) O B. 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