B = a) Find det (B) b) Find adj(B) c) Use a) and b) to find B-¹. -3 6 1 1 0 2 -4 -4 1 ]
B = a) Find det (B) b) Find adj(B) c) Use a) and b) to find B-¹. -3 6 1 1 0 2 -4 -4 1 ]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![B =
a) Find det (B)
b) Find adj(B)
c) Use a) and b) to find B-¹.
-3 6
1
1
0
2 -4
-4
1
]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ff26997-9f34-4eb7-89d4-bc58ca957ff4%2Fcdc71a1c-f4eb-4114-a6b3-065ed706e371%2Fyan3x4n_processed.png&w=3840&q=75)
Transcribed Image Text:B =
a) Find det (B)
b) Find adj(B)
c) Use a) and b) to find B-¹.
-3 6
1
1
0
2 -4
-4
1
]
Expert Solution
Step 1
(a) det (B) = -3 - 6
= -3 {2(-1) - (-4)(-4)} - 6{1(-1) - (-4)×1}
= -3 (-2 - 16) - 6(-1 + 4)
= -3 × (-18) - 6 × 3
= 54 - 18 = 36 [ans]
(b) adj(B) = transpose[
]
= transpose []
=
[Ans]
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