(Solved): Find a 3x3 matrix, not the identity matrix or the zero matrix, such that AB = BA.  A. Right-mul ...

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 \( D \). B. Right-multiplication (that is, multiplication on the right) by the diagonal matrix \( \mathrm{D} \) 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 \( D \). 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 \( D \). 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 \( 3 \times 3 \) matrix \( B \), not the identity matrix or zero matrix, such that \( A B=B A \). Choose the correct answer below. A. There is only one unique solution, \( \mathrm{B}= \) (Simplify your answers.) B. There are infinitely many solutions. Any multiple of \( \mathrm{I}_{3} \) will satisfy the expression. c. There does not exist a matrix, B, that will satisfy the expression.