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B3: Consider the matrix: 1. 3 A =-2 -3 -3 2 -1 -1, a) Find the eigenvalues of A. For each eigenvalue A, find the dimensi the eigenspace ker(A - AI) and give a basis (i.e. find eigenvectors You are given that (A – 2)(A² +6A + 8) = A3+ 4x2 – 4A – 16. b) Decide if A is diagonalisable. If it is, then write A as: A = PDP-, where D is a diagonal matrix. c) Compute A.

B3: Consider the matrix: 1. 3 A =-2 -3 -3 2 -1 -1, a) Find the eigenvalues of A. For each eigenvalue A, find the dimensi the eigenspace ker(A - AI) and give a basis (i.e. find eigenvectors You are given that (A – 2)(A² +6A + 8) = A3+ 4x2 – 4A – 16. b) Decide if A is diagonalisable. If it is, then write A as: A = PDP-, where D is a diagonal matrix. c) Compute A.

Advanced Engineering Mathematics
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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Plz solve b part only in 30 min and take a thumb up plz
B3: Consider the matrix: A = -2 -3 -3 2 -1 -1 a) Find the eigenvalues of A. For each eigenvalue A, find the dimension of the eigenspace ker(A – AI) and give a basis (i.e. find eigenvectors). You are given that (A – 2)(A² +6A + 8) = 13 + 42 – 41 – 16. b) Decide if A is diagonalisable. If it is, then write A as: A = PDP-, where D is a diagonal matrix. c) Compute A". marks)
Transcribed Image Text:B3: Consider the matrix: A = -2 -3 -3 2 -1 -1 a) Find the eigenvalues of A. For each eigenvalue A, find the dimension of the eigenspace ker(A – AI) and give a basis (i.e. find eigenvectors). You are given that (A – 2)(A² +6A + 8) = 13 + 42 – 41 – 16. b) Decide if A is diagonalisable. If it is, then write A as: A = PDP-, where D is a diagonal matrix. c) Compute A". marks)
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