In Exercises 5-12, evaluate the determinant of the given matrix by cofactor expansion along the indicated row. 5. 9. 1 0 2 3 along the first row 4) 2 3 along the second row 0 (7 0 47 1²-1) along the third row I₂ 0 0 -2 3 -1 0 1 2 along the fourth row 6. 10. 12. 01 5 3 0 along the first row 102 0 1 5 along the third row G -1 3 1 0 27 0 -1 along the second row 2 1 2 5 -3 6 along the fourth row 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In Exercises 5-12, evaluate the determinant of the given matrix by cofactor
expansion along the indicated row.
5.
7.
9.
11.
6.10 (10
-3
5
2 3
3
along the first row
along the first row
2)
2
along the second row
0
3
0
-21 0
3
0
along the third row
10 2
3 -1
-2
12
along the fourth row
6.
8.
10.
12.
1 0 2)
0 1 5
1 3 0
along the third row
1
2+1
3
0
21
1-1
0
along the second row
2
14
1
-5 -3
6-4
along the fourth row
3
18
Transcribed Image Text:In Exercises 5-12, evaluate the determinant of the given matrix by cofactor expansion along the indicated row. 5. 7. 9. 11. 6.10 (10 -3 5 2 3 3 along the first row along the first row 2) 2 along the second row 0 3 0 -21 0 3 0 along the third row 10 2 3 -1 -2 12 along the fourth row 6. 8. 10. 12. 1 0 2) 0 1 5 1 3 0 along the third row 1 2+1 3 0 21 1-1 0 along the second row 2 14 1 -5 -3 6-4 along the fourth row 3 18
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