I've been brushing up on some linear algebra this summer, and came across this problem in a practice book. Any help on this?
Let A be an m x n matrix. Prove that if c is any nonzero scalar, then rank(cA) = rank(A).
I've been brushing up on some linear algebra this summer, and came across this problem in a practice book. Any help on this?
Let A be an m x n matrix. Prove that if c is any nonzero scalar, then rank(cA) = rank(A).