Solved: Let A Rmn, B Rnr , and C = AB. Show that (a) if A and B both have linearly
Chapter 3, Problem 29(choose chapter or problem)
Let A Rmn, B Rnr , and C = AB. Show that (a) if A and B both have linearly independent column vectors, then the column vectors of C will also be linearly independent. (b) if A and B both have linearly independent row vectors, then the row vectors of C will also be linearly independent. [Hint: Apply part (a) to CT ].
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer