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Let S be a set of m vectors in R" with m > n. Select the best statement. Note you only have 3 attempts. O A. The set S could be either linearly dependent or linearly independent, depending on the case. O B. The set S is linearly independent, as long as it does not include the zero vector. O C. The set S is linearly dependent. OD. The set S is linearly independent, as long as no vector in S is a scalar multiple of another vector in the set. O E. The set S is linearly independent. F. none of the above

Let S be a set of m vectors in R" with m > n. Select the best statement. Note you only have 3 attempts. O A. The set S could be either linearly dependent or linearly independent, depending on the case. O B. The set S is linearly independent, as long as it does not include the zero vector. O C. The set S is linearly dependent. OD. The set S is linearly independent, as long as no vector in S is a scalar multiple of another vector in the set. O E. The set S is linearly independent. F. none of the above

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 30EQ
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linear dependence

Let S be a set of m vectors in R" with m > n. Select the best statement. Note you only have 3 attempts. O A. The set S could be either linearly dependent or linearly independent, depending on the case. OB. The set S is linearly independent, as long as it does not include the zero vector. OC. The set S is linearly dependent. OD. The set S is linearly independent, as long as no vector in S is a scalar multiple of another vector in the set. O E. The set S is linearly independent. F. none of the above
Transcribed Image Text:Let S be a set of m vectors in R" with m > n. Select the best statement. Note you only have 3 attempts. O A. The set S could be either linearly dependent or linearly independent, depending on the case. OB. The set S is linearly independent, as long as it does not include the zero vector. OC. The set S is linearly dependent. OD. The set S is linearly independent, as long as no vector in S is a scalar multiple of another vector in the set. O E. The set S is linearly independent. F. none of the above
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