Proof problem #3 Let A be an n x k matrixr and let B be a k X 11: matrix. AB is their product n X m matrix. Prove: 0 ll AB is onetoone as a linear transformation, then so is B. 0 ll AB is onto as a linear transtormation, then so is .4. Due: week 8 common pitfalls 0 As before. you don't know the values of m in or 11:. nor any of the terms of the matrices. You cannot make an argument based on the sizes of A or B1 or using the number of leading terms of the matrices. i In the first proot, don't tr}.I to prove that A is one-to-one (it's not actually true in general). Likewise1 in the second proof. don't try to prove that B is onto