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4. Find the determinants by row reduction to echelon form. (a) 2 -1 4 1 3 -1 2 1 11 0 2 3 1 0 0 6 6 0 0 ∞ CONO More problems: 5-10 section 3.2 5. Combine the methods of row reduction and cofactor expansion to compute the determinants. -7 -5 0 2 3 (b) 8 1 0 2 -1 -2 5 2 0 2 1 -6 7 5 4 -4 More problems: 11-14 section 3.2

4. Find the determinants by row reduction to echelon form. (a) 2 -1 4 1 3 -1 2 1 11 0 2 3 1 0 0 6 6 0 0 ∞ CONO More problems: 5-10 section 3.2 5. Combine the methods of row reduction and cofactor expansion to compute the determinants. -7 -5 0 2 3 (b) 8 1 0 2 -1 -2 5 2 0 2 1 -6 7 5 4 -4 More problems: 11-14 section 3.2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you answer 4 and 5?
1. Compute the determinant using a cofactor expansion across the first row. -1 2 -7 1 -3 2 3 5 2 2. Compute the determinant using a cofactor expansion down the second column. 2 -1 1 2 (a) 3 -1 1 11 More problems: 5-8 section 3.1 3. Compute the determinants by cofactor expansion. At each step, choose a row or column that involves the least amount of computation. (a) 0 2 10 0 11 5 8 0 1 0 0 5 78 170 4. Find the determinants by row reduction to echelon form. 2 -1 4 1 3 -1 2 1 11 O co 0 0 ∞ W NO 2 3 0 6 0 2 0 (b) 8 7 0 2 0 3 -2 5 7 8 More problems: 5-10 section 3.2 5. Combine the methods of row reduction and cofactor expansion to compute the determinants. 0 -7 -5 2 3 1 0 6 6 0 More problems: 1-4 section 3.1 1 -2 0 0 2 2 -6 7 1 4 -4 5 2 1 5 -2 6 67 0 7 3 2 0 0 11 8 0 0 2 1 More problems: 9-14 section 3.1 (c) More problems: 11-14 section 3.2
Transcribed Image Text:1. Compute the determinant using a cofactor expansion across the first row. -1 2 -7 1 -3 2 3 5 2 2. Compute the determinant using a cofactor expansion down the second column. 2 -1 1 2 (a) 3 -1 1 11 More problems: 5-8 section 3.1 3. Compute the determinants by cofactor expansion. At each step, choose a row or column that involves the least amount of computation. (a) 0 2 10 0 11 5 8 0 1 0 0 5 78 170 4. Find the determinants by row reduction to echelon form. 2 -1 4 1 3 -1 2 1 11 O co 0 0 ∞ W NO 2 3 0 6 0 2 0 (b) 8 7 0 2 0 3 -2 5 7 8 More problems: 5-10 section 3.2 5. Combine the methods of row reduction and cofactor expansion to compute the determinants. 0 -7 -5 2 3 1 0 6 6 0 More problems: 1-4 section 3.1 1 -2 0 0 2 2 -6 7 1 4 -4 5 2 1 5 -2 6 67 0 7 3 2 0 0 11 8 0 0 2 1 More problems: 9-14 section 3.1 (c) More problems: 11-14 section 3.2
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