2 1 0-2 -1 0 -1 1 2 0 1 2 1 0 along the fourth column 3

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 just answer (g)
Evaluate the determinant of the following matrices in the manner indicated.
1 0 21
015
0
-(1)
0 -3
(a)
2 3 0
along the first row
(c)
(e)
(g)
0
1 2
0 -3
2
3
0
along the second column
1+i
0
4i
21
0
-2i
3
0
along the third row
2
0
1
3 -1
2 1 3
0 -2
2
0
2
-1
along the fourth column
(b)
(d)
(f)
(h)
-1 30
along the first column
1 0 2
0
1 5
-1 3 0
along the third row
i
-1
0
2+i
3
-1
0
2i
1-i
along the third column
1
-1 2
-3
4 1
2 -5 -3
8
-2
6-4
1
along the fourth row
-1
Transcribed Image Text:Evaluate the determinant of the following matrices in the manner indicated. 1 0 21 015 0 -(1) 0 -3 (a) 2 3 0 along the first row (c) (e) (g) 0 1 2 0 -3 2 3 0 along the second column 1+i 0 4i 21 0 -2i 3 0 along the third row 2 0 1 3 -1 2 1 3 0 -2 2 0 2 -1 along the fourth column (b) (d) (f) (h) -1 30 along the first column 1 0 2 0 1 5 -1 3 0 along the third row i -1 0 2+i 3 -1 0 2i 1-i along the third column 1 -1 2 -3 4 1 2 -5 -3 8 -2 6-4 1 along the fourth row -1
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