MATH 1502 Study Guide - Final Guide: Trapezoidal Rule, Absolute Convergence, Ant Colony
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3 be the 4 4 matrix with columns given by the 4 vectors above. Explain: find an orthogonal basis of v . 0 (cid:19) (cid:18) 1 1 (cid:19) (cid:18) 1 1 and t: t is a linear transformation with t (cid:18) 0. 1 (cid:19) (a) find t (b) find a vector u such that t (u) = (cid:19) (cid:18) 2 3 (cid:18) 1. 1: consider the equation ax = b with a = If yes, nd all solutions, if not, explain. (b) find the least squares solution of the above equation. (c) find the length and the dot product of the columns of a. 2 (cid:18) 3 2 (cid:18) 3 1 1 1 (cid:19) 1 0 2 (a) (b) (c) (d) (cid:19) 1: find the best t line to the following sets of points: (a) (1, 2), (2, 4), ( 1, 0), (5, 2), (3, 3). (b) (2, 1), (0, 0), (5, 4), ( 1, 2), true or false.
