MATH136 Study Guide - Midterm Guide: Vehicle-To-Grid, Vulgate, Augmented Matrix
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MATH136 Full Course Notes
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Note: - only answers are provided here (and some proofs). On the test you must provide full and complete solutions to receive full marks: short answer problems, state the de nition of a basis of a subspace s of rn. State the de nition of the set s being linearly independent. = (cid:126)u, then (cid:126)x = s(cid:126)u + t(cid:126)v is just the origin. 0: consider the system of linear equations: 5x + 7y + 2z = 14: write the augmented matrix and nds its rref. 2: find the general solution of the system. 2: let s = a linear combination of the vectors in s. Soln: we want to nd c1, c2, c3 such that. Is in the span of s. if so, write it as. The system is inconsistent so it is not in the span. 2: consider the vectors (cid:126)x , compute (cid:107)(cid:126)x(cid:107) and (cid:107)(cid:126)y(cid:107). Soln: (cid:107)(cid:126)x(cid:107) = 3 and (cid:107)(cid:126)y(cid:107) = a.