01 (a) (5 points) For the following statement either prove it is true, or find a counterexample to show that it is false. (You must justify your counterexample). Let A, B E MWGR). If W is the subspace of Mm(R) defined by W = Span{A, B}, then W = Span{AT, BT}. Note: AT denotes the transpose of A. + Drag and drop your files or click to browse... 01 (b) (5 points) For the following statement either prove it is true, or find a counterexample to show that it is false. (You must justify your counterexample). Let A, B E Man(R) be nonzero. If A = AT, and B = BT, then the list A, B is linearly independent. Note: AT denotes the transpose of A. Q1(c) (5 points) For the following statement either prove it is true, or find a counterexample to show that it is false. (You must justify your counterexample). The set W = {f E F(R) | f(1)f(-1) = 0} is a subspace of F(R)