4 -20 4 Let A = -1 10 19 19 13 We want to determine if the columns of matrix A and are linearly independent. To do that we row reduce A. To do this we add times the first row to the second. We then add times the first row to the third. We then add We conclude that times the new second row to the new third row. A. The columns of A are linearly independent. B. The columns of A are linearly dependent. C. We cannot tell if the columns of A are linearly independent or not.
4 -20 4 Let A = -1 10 19 19 13 We want to determine if the columns of matrix A and are linearly independent. To do that we row reduce A. To do this we add times the first row to the second. We then add times the first row to the third. We then add We conclude that times the new second row to the new third row. A. The columns of A are linearly independent. B. The columns of A are linearly dependent. C. We cannot tell if the columns of A are linearly independent or not.
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
Related questions
Question
![4
-20
4
Let A = -1
10
19
19
13
We want to determine if the columns of matrix A and are linearly independent. To do that we row reduce A.
To do this we add
times the first row to the second.
We then add
times the first row to the third.
We then add
times the new second row to the new third row.
We conclude that
A. The columns of A are linearly independent.
B. The columns of A are linearly dependent.
C. We cannot tell if the columns of A are linearly independent or not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa70e8e95-a62f-4827-beb4-583f27efeab1%2F9877ea2d-2d67-4657-b949-7e0f2fb3f9d1%2Fc6fh204_processed.png&w=3840&q=75)
Transcribed Image Text:4
-20
4
Let A = -1
10
19
19
13
We want to determine if the columns of matrix A and are linearly independent. To do that we row reduce A.
To do this we add
times the first row to the second.
We then add
times the first row to the third.
We then add
times the new second row to the new third row.
We conclude that
A. The columns of A are linearly independent.
B. The columns of A are linearly dependent.
C. We cannot tell if the columns of A are linearly independent or not.
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