I’m asking to verify question 2b“Find a basis for W” MAT2114 HOMEWORK 062. (Your instructor forgot to do this example in class). Let W =ER³ such that x+y+z=0(a) Find a matrix A so that W = Null(A).[=0A-[1]CAAx=0✓1+3+3+1(b) Find a basis for W.-> Basis (w)=Singulur vectorPoof12-1[] [01]

MAT2114 HOMEWORK 06 2. (Your instructor forgot to do this example in class). Let W- (a) Find a matrix A so that W = Null(A). A-[117] = [1 CA (b) Find a basis for W. A: [ 1 1 1] > Bass (w). Singulur vector Pof R₂-R., 13-2, ER³ such that r+y+z=0 y = 0 Z Ax=0✓ 1x305x1 10

MAT2114 HOMEWORK 06 2. (Your instructor forgot to do this example in class). Let W- (a) Find a matrix A so that W = Null(A). A-[117] = [1 CA (b) Find a basis for W. A: [ 1 1 1] > Bass (w). Singulur vector Pof R₂-R., 13-2, ER³ such that r+y+z=0 y = 0 Z Ax=0✓ 1x305x1 10

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 31EQ

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Question

I’m asking to verify question 2b “Find a basis for W”

MAT2114 HOMEWORK 06
2. (Your instructor forgot to do this example in class). Let W =
ER³ such that x+y+z=0
(a) Find a matrix A so that W = Null(A).
[
=0
A-[1]
CA
Ax=0✓
1+3+3+1
(b) Find a basis for W.
-> Basis (w)=
Singulur vector
Poof
12-1
[] [01]

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