Let 1 2 3 A = x y z 2 3 4 where x = (x, y, z) = R³. Find a basis of W = {x = (x, y, z) = R³ : det (A) = 0} so that the basis vectors are the rows of a matrix R which is in reduced row echelon form. Input R as your answer. R =

Let 1 2 3 A = x y z 2 3 4 where x = (x, y, z) = R³. Find a basis of W = {x = (x, y, z) = R³ : det (A) = 0} so that the basis vectors are the rows of a matrix R which is in reduced row echelon form. Input R as your answer. R =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section: Chapter Questions

Problem 20RQ

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Question

Let
1 2 3
A =
x y z
2
3 4
where x = (x, y, z) = R³. Find a basis of
W = {x = (x, y, z) = R³ : det (A) = 0}
so that the basis vectors are the rows of a matrix R
which is in reduced row echelon form. Input R as
your answer.
R =

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