MATH 1502 Study Guide - Augmented Matrix, Row Echelon Form, Linear Independence
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Practice problem for midterm #2, math 1502: determine whether the given vectors are linearly independent or dependent. If the vectors are linearly dependent, express 0 as a nontrivial linear combination of the vectors: (cid:19) 1 (cid:18) -3 (cid:18) 1 (cid:19) (cid:19) 2x2 + x3 x4 = 3 x1 + x2 2x3 + 3x4 = 2. 2x1 + 4x2 + 9x3 x4 = 0 x1 + x2 + x3 = 5. 1: find the matrix of a linear transformation t given the information below: (a) t (b) t. 4. (a) is (b) is (c) is: for a linear transformations t nd the following: If yes, nd a speci c linear combination. (cid:19) (cid:18) 1 (cid:19) (cid:18) 3 (cid:19) (cid:19) (cid:18) 4. , t (cid:19) (cid:18) 2 (cid:19) (cid:19) (cid:18) 1. 0 combination. (a) given that t (b) given that t (c) with no information, nd t. 0: at a store a notepad costs and a notebook costs .
