4Let v,and v3Does (v1,V2,V3} span R°? Why or why not?...Choose the correct answer below.A. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row.В.No. The set of given vectors spans a plane in R°. Any of the three vectors can be written as a linear combination of the other two.C. Yes. Any vector in R° except the zero vector can be written as a linear combination of these three vectors.O D. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows.

Given, v1=00-3, v2=0-56, and v3=4-19

Answered: Choose the correct answer below.

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Advanced Math

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 51EQ

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Question

4
Let v,
and v3
Does (v1,V2,V3} span R°? Why or why not?
...
Choose the correct answer below.
A. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row.
В.
No. The set of given vectors spans a plane in R°. Any of the three vectors can be written as a linear combination of the other two.
C. Yes. Any vector in R° except the zero vector can be written as a linear combination of these three vectors.
O D. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows.

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