finalreview - MAS 3114 Study Guide The Final Exam is based...

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MAS 3114 Study Guide The Final Exam is based on Sections 1.1–1.5, 1.7–1.9, 2.1–2.3, 4.1–4.6, 5.1–5.3, 6.1–6.3, 6.5 and the Owl Problem. Since it also includes the Owl Problem, some knowledge of parts of sections 5.5 and 5.6 is required. In each question on the exam set out your work. Both your reasoning and your answer should be clear. Only scientific calculators are allowed. No graphing, symbolic or pro- grammable calculators allowed. Go over your notes. Make sure you know important theorems. Make sure you can do all suggested homework problems. Know the definitions of the following terms: Span, linearly independent, linear transformation, subspace, invertible matrix, null space, column space, row space, rank, basis, dimension, coordinate vector, eigenvector, eigenvalue, diagonal- izable, orthogonal set of vectors, orthonormal set of vectors, orthogonal complement of a subspace, least squares problem. Don’t confuse a definition with a theorem . Make sure you can do the following:
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