6. Determine the basis for the null space of: -2x +2y + 2z] Зх + 5у + z 2у +z a) х — 2у — z b) —х + 2у + z [2x – 4y – 2zl x + y - z + w c) 2х + у + 4z + w Зх + у + 9z

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section: Chapter Questions
Problem 20RQ
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6. Determine the basis for the null space of:
-2х + 2у + 2z1
Зх + 5у +z
2y + z
a)
х — 2у — z
—х + 2у + z
b)
[2х — 4y — 2z]
-
х+у-z+w
|2х + у + 4z + w
Зх + у +9z
с)
Transcribed Image Text:6. Determine the basis for the null space of: -2х + 2у + 2z1 Зх + 5у +z 2y + z a) х — 2у — z —х + 2у + z b) [2х — 4y — 2z] - х+у-z+w |2х + у + 4z + w Зх + у +9z с)
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