Г3 —9 1 -3 -2 and B = 2 -7 -4 [18 6 0 2. Let A = 6 2 0 13 4 0 (a) (b) Compute A-1 Find a non-zero vector i so that Au and Bu have the same value w. a? bc c2 + ac 3. Show that det a2 + ab 62 = 4a?b?c². ас ab b2 + bc c2 Remark. If you expand by minors or use Sarrus' rule directly, it will have a large number of terms. We recommend simplifying before multiplying it out.

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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Question
Г3 —9
1 -3 -2 and B =
[18 6 0
2. Let A =
6 2 0
2 -7 -4
13 4 0
(a)
(b)
Compute A-1
Find a non-zero vector i so that Au and Bū have the same value w.
a?
bc
c2 + ac
3.
Show that det a2 + ab
62
= 4a²b²c².
ас
ab
62 + bc
c2
Remark. If you expand by minors or use Sarrus' rule directly, it will have a large number of
terms. We recommend simplifying before multiplying it out.
Transcribed Image Text:Г3 —9 1 -3 -2 and B = [18 6 0 2. Let A = 6 2 0 2 -7 -4 13 4 0 (a) (b) Compute A-1 Find a non-zero vector i so that Au and Bū have the same value w. a? bc c2 + ac 3. Show that det a2 + ab 62 = 4a²b²c². ас ab 62 + bc c2 Remark. If you expand by minors or use Sarrus' rule directly, it will have a large number of terms. We recommend simplifying before multiplying it out.
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