Diagonalize the following matrices: (a) -17 1 -1 A = 1 3 1 -3 1 -1 B = (b) -4 6 6 0 2 0 -1 1 1 For the A and B matrices given in question 2 above, find A2 and B³ by using the method shown in Example 2 of section 5.3 (slides 3, 4, and 5). Find the determinant of the following matrix by using the method shown in Example 1 in section 5.2. -4 2 3-2- 7 -1 -3 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Diagonalize the following matrices:
(a)
-1 -17
1
A = 1 3 1
-3 1 -1
B =
(b)
-4
0
-4
2
-1
6
2
0
1 1
For the A and B matrices given in question 2 above, find A2 and B³ by using
the method shown in Example 2 of section 5.3 (slides 3, 4, and 5).
3-2-
7
-1
-3 1
6
Find the determinant of the following matrix by using the method shown in
Example 1 in section 5.2.
Transcribed Image Text:Diagonalize the following matrices: (a) -1 -17 1 A = 1 3 1 -3 1 -1 B = (b) -4 0 -4 2 -1 6 2 0 1 1 For the A and B matrices given in question 2 above, find A2 and B³ by using the method shown in Example 2 of section 5.3 (slides 3, 4, and 5). 3-2- 7 -1 -3 1 6 Find the determinant of the following matrix by using the method shown in Example 1 in section 5.2.
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