1. A basis for the solution space of the system is: a) {(0, 0, 0, 0)} b) {(1, 2, 0, 0)} c) {(2, 1, 0, 0), (2, 0, − 2, 1)} 2. What is the name for this solution space? { a -2a + 3 2b + 3c + 4d 4b 5c 6d - d) {(2, 1, 0, 0), (1, -3, -4, 1)} e) {(2, 1, 0, 0)} f) {(2, 0, 2, 1)} = = 00

1. A basis for the solution space of the system is: a) {(0, 0, 0, 0)} b) {(1, 2, 0, 0)} c) {(2, 1, 0, 0), (2, 0, − 2, 1)} 2. What is the name for this solution space? { a -2a + 3 2b + 3c + 4d 4b 5c 6d - d) {(2, 1, 0, 0), (1, -3, -4, 1)} e) {(2, 1, 0, 0)} f) {(2, 0, 2, 1)} = = 00

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 11CM

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Question

please answer this quick Objective question

1.
A basis for the solution space of the system
is:
a) {(0, 0, 0, 0)}
b) {(1, 2, 0, 0)}
c) {(2, 1, 0, 0), (2, 0, − 2, 1)}
2. What is the name for this solution space?
a
{$
-2a +
3
2b + 3c + 4d =
4b
6d
5c
-
d) {(2, 1, 0, 0), (1, -3, -4, 1)}
e) {(2, 1, 0, 0)}
f) {(2, 0, −2, 1)}
=
00

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