Part I (25%) - Multiple Choice. Problems 1-5. For each problem, circle the letter of the best answer choice. 1. Which of the following is not a subspace of R4? A W3 = { (a, b, c, d) | a + b + c+ d= 1} B W. = { (a, a, b, b) | a, be R } C W2 = { (a, b, c, d) | a = b, c = d } D W1 = { (a + b, a, b,0) | a, be R } 2. Which of the following sets of vectors are linearly independent? A I only B II only C I and II only D I and III only 3. Let T : R3 - R2 be a linear transformation. If u and v are vectors in R2 such that T(u) = and T(v) = then T(-u + 2v) = @ [ ] D A Co al a2 a3 b1 62 b3 4. If b1 b2 b3 = 1, then al a2 a3 = CI C2 C3 2c1 2c2 2c3 A -2 B & C 2 D -8 5. Find the standard matrix of the linear transformation T : R - R that reflects points across the line y = x and then rotates points by 90 (counterclockwise around the origin). A [-1 0] 0 1 B 1 10 -1 D