1.2: Which of the following is true? a) If S is a set of k vectors in R" and kn, then S is linearly dependent b) If S is a set of k vectors in R" and k = n, then S is linearly independent c) Every subset of a set of linearly dependent vectors is linearly dependent d) If the column vectors of an n x n matrix A are linearly independent, then th row vectors of A are also linearly independent e) None of the above

1.2: Which of the following is true? a) If S is a set of k vectors in R" and kn, then S is linearly dependent b) If S is a set of k vectors in R" and k = n, then S is linearly independent c) Every subset of a set of linearly dependent vectors is linearly dependent d) If the column vectors of an n x n matrix A are linearly independent, then th row vectors of A are also linearly independent e) None of the above

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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