please box answers in order so I can learn clearly. Consider the following.0 2A = 3 -1 32 0 1]1(a) Compute the characteristic polynomial of A.(b) Compute the eigenvalues and bases of the corresponding eigenspaces of A.(c) Compute the algebraic and geometric multiplicity of each eigenvalue. Next, let 1 = 3 to find the corresponding eigenspace. Similar to before, this is the null space of A - 31. First,simplify the matrix A - 31.1 0 2зооA - 31 = 3 -1 30 3 0-10 0 3-2233--2Next, write the augmented matrix and use row operations to reduce.-220-22 033 03R3 + R1 + R32-2 0-220R, +R, → R26 00 0-2R2 - R2

I guess you are for the blanks where the boxes are given. I'm answering them in step to pls find.…

Next, let 1 = 3 to find the corresponding eigenspace. Similar to before, this is the null space of A – 31. First, simplify the matrix A - 31. 1 0 2 A - 31 = 3 -1 3 зоо 0 3 0 0 0 3 1 -2 2 3 3 -2 Next, write the augmented matrix and use row operations to reduce. -2 20 -2 2 0 3 30 3 R3 + R, - R3 2 -2 0 -2 20 R2 +- R, - R2 6|0 -2

Next, let 1 = 3 to find the corresponding eigenspace. Similar to before, this is the null space of A – 31. First, simplify the matrix A - 31. 1 0 2 A - 31 = 3 -1 3 зоо 0 3 0 0 0 3 1 -2 2 3 3 -2 Next, write the augmented matrix and use row operations to reduce. -2 20 -2 2 0 3 30 3 R3 + R, - R3 2 -2 0 -2 20 R2 +- R, - R2 6|0 -2

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices

Problem 12EQ

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