Question: Question 9 The intersection of the planes a ty - 2z = 1 and 2x - y + 2 = 4 is a line. This

Question 9 The intersection of the planes a ty -
Question 9 The intersection of the planes a ty - 2z = 1 and 2x - y + 2 = 4 is a line. This line intersects the xy-plane at which point? (a) (5, -2, 0) (b) (-2,5,0) (c) (5/3, 2/3, 0) (d) (3, 2, 0) (e) none of the above b C b - 2a b c Question 10 Suppose that def = 2. Then e- 2d e f ghi h - 2g h i (a) -2 (b) 2 (c) -4 (d) 4 (e) none of the above 10 0 10 0 0 0 Question 11 Let E = 0 , G= 0 0 010 0 01 0 01 Let X be any 3 x n matrix and set Y := F-G"EX. Denote the first, second, and the third row of X by R1, R2, and R3. respectively. Then the second row of Y is (a) -2R1 + (1/4) R3 (b) 2R1 + (1/4) R3 (c)-2R1 - (1/4) R3 (d) 2R1 + 4R3 (e) none of the above Question 12 If det A = 2 and det B = 5, then det(A3B-1A*B?) = (a) 80 (b) 2000 (c) 40 (d) 400 (e) none of the above Question 13 A plane with normal vector 2 passes through the point A(-2, 1,3). If (a, a + 1, a + 2) lies on this plane, 3 then a = (a) 5/6 (b) 1/6 (c) -1/6 (d) 0 (e) none of the above

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