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Let A 3 -12 -2 12 1 3 18 -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 We then add We then add We conclude that times the first row to the second. times the first row to the third. times the new second row to the new third row. A. The columns of A are linearly dependent. B. The columns of A are linearly independent. c. We cannot tell if the columns of A are linearly independent or not.

Let A 3 -12 -2 12 1 3 18 -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 We then add We then add We conclude that times the first row to the second. times the first row to the third. times the new second row to the new third row. A. The columns of A are linearly dependent. B. The columns of A are linearly independent. c. We cannot tell if the columns of A are linearly independent or not.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section: Chapter Questions
Problem 14RQ
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Let A 3 -12 -2 12 1 3 18 -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 We then add We then add We conclude that times the first row to the second. times the first row to the third. times the new second row to the new third row. A. The columns of A are linearly dependent. B. The columns of A are linearly independent. c. We cannot tell if the columns of A are linearly independent or not.
Transcribed Image Text:Let A 3 -12 -2 12 1 3 18 -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 We then add We then add We conclude that times the first row to the second. times the first row to the third. times the new second row to the new third row. A. The columns of A are linearly dependent. B. The columns of A are linearly independent. c. We cannot tell if the columns of A are linearly independent or not.
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