Consider the matrix A 1 0 1 1 3-1 3 3 9-11 -2 1-6 9 -2 3 The solution set of the matrix equation Ax = 0 can be written in the form Span (w₁, W₂). Find vectors w₁ and w2. Let aj, a2, a3, and a4 be the columns of A. Is the set (a₁, a2, a3, a) linearly independent or linearly dependent? Circle your choice below and briefly justify your answer. Circle One: [ Linearly Independent / Linearly Dependent ]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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Consider the matrix
A =
-2
3
1
0
3
1 1
3
3-1
9-11
-2 1-6 9
The solution set of the matrix equation Ax = 0 can be written in the form
Span (w₁, W2). Find vectors w₁ and w2.
Let a₁, a2, a3, and a4 be the columns of A. Is the set {a₁, a2, a3, a} linearly
independent or linearly dependent? Circle your choice below and briefly justify your answer.
Circle One: [ Linearly Independent / Linearly Dependent]
Transcribed Image Text:Consider the matrix A = -2 3 1 0 3 1 1 3 3-1 9-11 -2 1-6 9 The solution set of the matrix equation Ax = 0 can be written in the form Span (w₁, W2). Find vectors w₁ and w2. Let a₁, a2, a3, and a4 be the columns of A. Is the set {a₁, a2, a3, a} linearly independent or linearly dependent? Circle your choice below and briefly justify your answer. Circle One: [ Linearly Independent / Linearly Dependent]
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