I understand there are only 4 questions on this test. Question 3 (6 points) For the following statements indicate whether they are TRUE or FALSE and explain clearly why it is the case. If it is FALSE explain why or give a counterexample. If it is TRUE indicate which Theorem or reason makes it so. If you simply state TRUE or FALSE without a reason, you will not get any marks for that question. H1. Let V be an inner product space and let X, y E V. If x and y are orthogonal then | |x + yll = |/x - yll. H2. For all positive integers m and n, the rank of an m x n nonzero matrix could be any integer from 0 to the minimum of m and n. H3. If B is a matrix obtained by multiplying each entry of some row or column of A by a scalar, then det(B)=det(A). I have written out my solution to this problem and will include it in my single PDF file to upload to Gradescope at the end of the test. I understand there are only 4 questions on this test