Answer each question on a separate sheet of paper. On each sheet, put your name, your section leader"s name and your section meeting time. When a question has short nal answer, put a box around that answer: (10 points) let a be the matrix. Compute the area of the triangle t in r3 whose corners are the origin and the two columns of a: (15 points) , nd all least squares solutions for ax = . 2t + 1 which is not diagonalizable. (c) write down a 2 2 matrix which has no eigenvalue. (eigenvalue means real eigen- value. : (15 points) let a = (cid:18)7 3. Produce an orthogonal matrix u and a diagonal matrix. D such that u 1au = d. (you do not have to compute u 1. : (10 points) let w the subspace of r4 which is spanned by the following vectors : v1 =
