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Let A be a matrix with more columns than rows.

Let A be a matrix with more columns than rows.

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
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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Let A be a matrix with more columns than rows. Select the best statement. A. The columns of A could be either linearly dependent or linearly independent depending on the case. B. The columns of A must be linearly dependent. C. The columns of A are linearly independent, as long as no column is a scalar multiple of another column in A D. The columns of A are linearly independent, as long as they does not include the zero vector. E. none of the above
Transcribed Image Text:Let A be a matrix with more columns than rows. Select the best statement. A. The columns of A could be either linearly dependent or linearly independent depending on the case. B. The columns of A must be linearly dependent. C. The columns of A are linearly independent, as long as no column is a scalar multiple of another column in A D. The columns of A are linearly independent, as long as they does not include the zero vector. E. none of the above
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