MATH 3A Midterm: Midterm_2_3A_w2016_answers
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MATH 3A Full Course Notes
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There are 3 exercises, worth a total of 100 points. Exercise 1 (26 = 20 + 6 pts) Consider the 3 3 matrix a and vector b r3 given by. 10 (a) compute a 1 (warning: there will be fractions). (b) solve ax = b using your answer to a. 10 (b) x = a 1b = [3, 1, 4]t . Exercise 2 (38 = 8 + 4 + 8 + 6 + 4 + 8 pts) Let c r. consider the 3 3 matrix and vector b given by. Let x = [x1, x2, x3]t be the unique solution. In fact, the solution is [2, 1, 0]t . (cid:12)(cid:12)(cid:12)(cid:12)(cid:12)(cid:12) 1, no answer 0. (1) let a be an n n matrix such that a3 + 2a2 + 3a + 4in = 0. Then a is invertible and one has a 1 = a2+2a+3in. 4 (2) let a be a 3 2 matrix.
