4. -1 6 4. Given the matrix A = 2 1 6. 12 -1 8] a) Find the dimension of the eigenspace of A for its eigenvalue2=2, as well as a basis for this eigenspace. b) Is A diagonalizable?
4. -1 6 4. Given the matrix A = 2 1 6. 12 -1 8] a) Find the dimension of the eigenspace of A for its eigenvalue2=2, as well as a basis for this eigenspace. b) Is A diagonalizable?
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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
![4.
-1 6
4. Given the matrix A = 2
1
6.
12
-1 8]
a) Find the dimension of the eigenspace of A for its eigenvalue2=2, as well as a basis for this
eigenspace.
b) Is A diagonalizable?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe20a074b-14c3-47ba-b41b-9346b507b7c7%2Fa7850f15-a1b5-4c9f-81ad-f2cf347dd788%2Fx3wdb5.jpeg&w=3840&q=75)
Transcribed Image Text:4.
-1 6
4. Given the matrix A = 2
1
6.
12
-1 8]
a) Find the dimension of the eigenspace of A for its eigenvalue2=2, as well as a basis for this
eigenspace.
b) Is A diagonalizable?
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