Elementary Linear Algebra Quiz and Assignment Instructions for MAT 242, Summer 2008, Quizzes of Linear Algebra

Download Elementary Linear Algebra Quiz and Assignment Instructions for MAT 242, Summer 2008 and more Quizzes Linear Algebra in PDF only on Docsity! MAT 242 Elementary Linear Algebra, Summer 2008, SLN: 41952 In-Class Quiz Min: minimum preparation for in-class quizzes. In-Class Quiz Max: maximum preparation for in-class quizzes. The in-class quizzes will be heavily inspired by these problems. Take-Home Quiz: take-home quizzes to be turned in on date announced in class. These should look nice; point will be deducted for poor presentation (typesetting is probably going too far). Rough drafts or scratch paper are good ideas. Look Over: problems to look at and understand. Mastery Technique: technique to be mastered (problems denoted with an *). Section 1.1 (page 9) In-Class Quiz Min: 1-11 odd, 15, 19 In-Class Quiz Max: 1-22 Take-Home Quiz: 25 Look Over: 24 Section 1.2 (page 21) For 11-22 change instructions to: Use matrices and elimination to reduce the below simultaneous systems of linear equations. If inconsistent, say so. If there is a unique solution, give it. If there are infinitely many solutions, parameterize the solution. In-Class Quiz Min: 11, 15, 19 In-Class Quiz Max: 11-22* Take-Home Quiz: 25 (justify fully your answer) Look Over: 23-27 Mastery Technique: *Gauss-Jordan Elimination Section 1.3 (page 29) In-Class Quiz Min: 5, 9, 13, 17 In-Class Quiz Max: 1-20* Take-Home Quiz: 32 (justify fully your answer) Mastery Technique: *Gauss-Jordan Elimination Section 1.4 (page 41) In-Class Quiz Min: 3, 7, 11, 17, 19 In-Class Quiz Max: 1-12, 17-22 Take-Home Quiz: 36, 37 Look Over: 23-27, 31-37 Section 1.5 (page 56) In-Class Quiz Min: 7, 13, 17, 23 In-Class Quiz Max: 1-8, 9-22*, 23-28 Take-Home Quiz: 36 Look Over: 34 Mastery Technique: *computing matrix inverse by row-reducing augmented matrix Chapter 1 Review Questions (page 70) Take-Home Quiz: pick one of 12 or 15 or 17 Look Over: 4-8, 12-15, 17 Section 2.1 (page 78) In-Class Quiz Min: 1, 3, 7 In-Class Quiz Max: 1-10* Take-Home Quiz: 18 Look Over: 29 Mastery Technique: *computing 2x2 determinants with formula ad-bc Note: Crammer's Rule will be on no test Section 2.2 (page 88) In-Class Quiz Min: 1-6, 7, 9, 15, 17 In-Class Quiz Max: 1-24* Take-Home Quiz: 25 (justify your answer) Look Over: 25-30 Mastery Technique: *computing determinant using tricks and cofactor expansions Section 2.3 (page 98) In-Class Quiz Min: 1, 3, 5, 13 In-Class Quiz Max: 1-20* Take-Home Quiz: 21 Look Over: 21, 22, 24-27, 30 (BIG typo: delete the first occurrence of the word "invertible;" that is, "30. Deduce from Theorems 2 and 3 that if A and B are nxn matrices, then AB is invertible if and only if both A and B are invertible.") Mastery Technique: *computing determinant using elimination Section 2.4 (page 106) Take-Home Quiz: 2, 12 Note: Section 2.4 will be on no test Chapter 2 Review Questions (page 115) Look Over: 2, 3, 5 Section 4.1 (page 170) In-Class Quiz Min: 1-13 odd (be sure to specifically justify your answer), 15, 19 In-Class Quiz Max: 1-14 (be sure to specifically justify your answer), 15-22 Take-Home Quiz: 4, 11 (be sure to specifically justify your answer) Look Over: 23, 30, 31 Section 4.2 (page 179) In-Class Quiz Min: 9-21 odd In-Class Quiz Max: 1-22 Look Over: 23-26 Section 4.3 (page 187) In-Class Quiz Min: 1-4, 7, 9-19 odd In-Class Quiz Max: 1-26 Section 4.4 (page 196) In-Class Quiz Min: 1, 3, 7, 13, 17 In-Class Quiz Max: 1-20 Look Over: 25-28 Chapter 4 Review Questions (page 208) Take-Home Quiz: 3, 4 Look Over: 13, 14 Section 6.1 (page 269) In-Class Quiz Min: 1, 13, 19, 23, 25 In-Class Quiz Max: 1-26* Take-Home Quiz: pick one of 28-30 Look Over: 28-30 Mastery Technique: *computing eigenvalues and associated eigenvectors Section 6.2 (page 278) In-Class Quiz Min: 1, 13, 15, 21, 23 In-Class Quiz Max: 1-28 Take-Home Quiz: pick one of 29-31 Look Over: 29-31 Section 6.3 (page 288) In-Class Quiz Min: 1, 7 In-Class Quiz Max: 1-14 Section 6.4 (page 297) In-Class Quiz Min: 1, 5, 7 In-Class Quiz Max: 1-20 Look Over: 21