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laqf07f_sg_Chap_2 - (a What are the main results here(b How...

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Linear Algebra, Fall 2007 (http://www.math.nthu.edu.tw/˜ wangwc/) Study Guide for Chapter 2 1. A typo in ”Study guide for Chap 1”: Section 1.3(b), Theorem 1.3.1 should be 1.3.2 instead. 2. Section 2.1: (a) Know how to compute determinant inductively (Theorem 2.1.1) (b) Study the proof of Theorem 2.1.2 and 2.1.3(ii) (mathematical induction). (c) Know how to determine whether the determinant of a 4 × 4 matrix A contains a term like a 12 a 23 a 34 a 41 or not. 3. Section 2.2:
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Unformatted text preview: (a) What are the main results here? (b) How does one compute det A with the help of Gauss elimination? 4. Section 2.3: (a) Know how to find the adjoint of A. Note the unusual indexing rule of adj A . (b) Know the to find A-1 in terms of adj A (c) Read carefully the proof of Cramer’s rule (Theorem 2.3.1) and know how to use Cramer’s rule to solve a system of equation. (d) Skip Application 1 on page 108. 1...
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