1. Compute the determinant using a cofactor expansion across the first row. 3 -1 2 5 -7 1 2-3 2 2. Compute the determinant using a cofactor expansion down the second column. -1 4 3 -1 1 11 2 1 2 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 11 58 2 7 01 10 0 00 0 5 78 More problems: 1-4 section 3.1 (b) 0 6 0 -4 2 7 0 2 0 -2 0 3 5 7 8 -2 6 1 67 0 7 3 2 0 0 11 8 0 0 2 1 More problems: 9-14 section 3.1 (c)
1. Compute the determinant using a cofactor expansion across the first row. 3 -1 2 5 -7 1 2-3 2 2. Compute the determinant using a cofactor expansion down the second column. -1 4 3 -1 1 11 2 1 2 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 11 58 2 7 01 10 0 00 0 5 78 More problems: 1-4 section 3.1 (b) 0 6 0 -4 2 7 0 2 0 -2 0 3 5 7 8 -2 6 1 67 0 7 3 2 0 0 11 8 0 0 2 1 More problems: 9-14 section 3.1 (c)
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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Question
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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