QUESTION 9 Let A = 12 21 9.1 Find the eigenvalues of A. 9.2 Find bases for the eigenspaces of A. 9.3 Is A diagonalisable? Give reasons.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
icon
Related questions
Question
QUESTION 9
12
Let A =
= (1 ²).
21
9.1 Find the eigenvalues of A.
9.2 Find bases for the eigenspaces of A.
9.3 Is A diagonalisable? Give reasons.
9.4 Find a matrix P and a diagonal matrix D such that P-¹AP = D.
9.5 Find A23. (You may write 223, for example, as it is without calculating its value.)
9.6 Use the above to solve the following system of differential equations:
í= 21+22
y₂ = 2x1 + x₂
Transcribed Image Text:QUESTION 9 12 Let A = = (1 ²). 21 9.1 Find the eigenvalues of A. 9.2 Find bases for the eigenspaces of A. 9.3 Is A diagonalisable? Give reasons. 9.4 Find a matrix P and a diagonal matrix D such that P-¹AP = D. 9.5 Find A23. (You may write 223, for example, as it is without calculating its value.) 9.6 Use the above to solve the following system of differential equations: í= 21+22 y₂ = 2x1 + x₂
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer