Let A and B be row equivalent matrices, and suppose that B can be obtained from A by using only row operations I and III. How do the values of det(A) and det(B) compare? How will the values compare if...

Let A and B be row equivalent matrices, and suppose

that B can be obtained from A by using only

row operations I and III. How do the values of

det(A) and det(B) compare? How will the values

compare if B can be obtained from A using only

row operation III? Explain your answers.