Let 1 0 1 2 3 3 A = -( : )--( * = 0 1 1 02 B = 0 1 1 02 ● 000 00 0 0 1 0 1 Which of the following statements is true? 1012 The nullspace of A is contained in the nullspace of B. The nullspace of B is contained in the nullspace of A. The only common element of both nullspaces is the all-zero vector. The nullspace of A is equal to the nullspace of B.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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Question
Let
A
=
0 1
1
1
00000
1
0
2 3
02
"
Which of the following statements is true?
B
=
1
0 1 2
0
1
0 0
23
1 0 2
10 1
The nullspace of A is contained in the nullspace of B.
The nullspace of B is contained in the nullspace of A.
The only common element of both nullspaces is the all-zero vector.
The nullspace of A is equal to the nullspace of B.
Transcribed Image Text:Let A = 0 1 1 1 00000 1 0 2 3 02 " Which of the following statements is true? B = 1 0 1 2 0 1 0 0 23 1 0 2 10 1 The nullspace of A is contained in the nullspace of B. The nullspace of B is contained in the nullspace of A. The only common element of both nullspaces is the all-zero vector. The nullspace of A is equal to the nullspace of B.
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