Plz solve b part only in 30 min and take a thumb up plz B3: Consider the matrix:A =-2 -3 -32 -1 -1a) Find the eigenvalues of A. For each eigenvalue A, find the dimension ofthe 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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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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.1: Introduction To Eigenvalues And Eigenvectors

Problem 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...

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