(g) 1302 3440 2 -2 3 2 1 -3 1 1 4 -1 3 0 (h) 1 -2 3 -12) -5 12 -14 19 -9 22 -20 31 -4 9 -14 15

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 and h
4. Evaluate the determinant of the following matrices by any legitimate
method.
1
3
(())
(a) ( 4 5 6
8 9
(c) (1
6
(e)
(
(g)
i
3
-2i
1
-3
2 -5
-4 3
0
2
2
1+i
1
-1
2
ܐ -4
0 -2
1
1 2
4 -1 1
3
0 1
ê
)b(
)d(
4
2
)h(
1
-1
3
(f( (1-i
3
5
-9
ܠ
3
-8
1
2 5
-2
2
-5
-1 2
ܐ+2
ܐ
2
3
1
-1+i/
-2
3
12
<-14
22 -20
9 -14
-12)
19
31
15
Transcribed Image Text:4. Evaluate the determinant of the following matrices by any legitimate method. 1 3 (()) (a) ( 4 5 6 8 9 (c) (1 6 (e) ( (g) i 3 -2i 1 -3 2 -5 -4 3 0 2 2 1+i 1 -1 2 ܐ -4 0 -2 1 1 2 4 -1 1 3 0 1 ê )b( )d( 4 2 )h( 1 -1 3 (f( (1-i 3 5 -9 ܠ 3 -8 1 2 5 -2 2 -5 -1 2 ܐ+2 ܐ 2 3 1 -1+i/ -2 3 12 <-14 22 -20 9 -14 -12) 19 31 15
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We know that determinant of diagonal matrix, upper triangular matrix, lower triangular matrix is the product of elements of its diagonal.

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