Which one of the following statements is true regarding the columns of the matrix A? 1 -3 2 1 -4 1 2 The columns of A are linearly independent, because Ax=D0 has nontrivial solutions and there is one free variable Oa. O b. The columns of A are linearly dependent, because Ax=0 has only the trivial solution and there are no free variables OC The columns of A are linearly independent, because Ax=0 has only the trivial solution and there are no free variables O d. The columns of A are linearly dependent, because Ax=0 has nontrivial solutions and there is one free variable O e. None of the answers is correct

Which one of the following statements is true regarding the columns of the matrix A? 1 -3 2 1 -4 1 2 The columns of A are linearly independent, because Ax=D0 has nontrivial solutions and there is one free variable Oa. O b. The columns of A are linearly dependent, because Ax=0 has only the trivial solution and there are no free variables OC The columns of A are linearly independent, because Ax=0 has only the trivial solution and there are no free variables O d. The columns of A are linearly dependent, because Ax=0 has nontrivial solutions and there is one free variable O e. None of the answers is correct

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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