Exercise: Let B = 2 4 -3 -6 2 7 4 2 -1 -3 -3 1 -3 1 EEEE -1 -2 2 4 2 -2 1 0 30 020 -2 -5 4 2 7 02 -1. 0 0 3 The matrix B satisfies where the matrix multiplying B on the left is the inverse of the one multiplying B on the right. The eigenvalues of B are À = 2 and À = 3. A basis for the eigenspace E₂ is BE₂² 18 188) A basis for the eigenspace E3 is BE3
Exercise: Let B = 2 4 -3 -6 2 7 4 2 -1 -3 -3 1 -3 1 EEEE -1 -2 2 4 2 -2 1 0 30 020 -2 -5 4 2 7 02 -1. 0 0 3 The matrix B satisfies where the matrix multiplying B on the left is the inverse of the one multiplying B on the right. The eigenvalues of B are À = 2 and À = 3. A basis for the eigenspace E₂ is BE₂² 18 188) A basis for the eigenspace E3 is BE3
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
![Exercise: Let B =
-1
-2
-3
2
4
-1
-1
-2
-2 -5
-3
4
2
2
7
-3 -3
2 4
4 2
The matrix B satisfies
A basis for the eigenspace E₂ is BE2
-6 1 -3
1
2 -2 1 0
2
70
where the matrix multiplying B on the left is the inverse of the one multiplying B on
the right.
The eigenvalues of B are À = 2 and À = 3.
A basis for the eigenspace E3 is BE3
30
020
-1 [003]
181
(88)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0aa27a28-efdb-4d0f-aad3-266fe3536dfa%2F03a5d282-4bce-4032-946b-b69156e84b3e%2Ffis7xm_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise: Let B =
-1
-2
-3
2
4
-1
-1
-2
-2 -5
-3
4
2
2
7
-3 -3
2 4
4 2
The matrix B satisfies
A basis for the eigenspace E₂ is BE2
-6 1 -3
1
2 -2 1 0
2
70
where the matrix multiplying B on the left is the inverse of the one multiplying B on
the right.
The eigenvalues of B are À = 2 and À = 3.
A basis for the eigenspace E3 is BE3
30
020
-1 [003]
181
(88)
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