'm confused as to the definition of column space. Looking at this exercise, my understanding is that column space is the vectors that make up the span of the matrix? Could you maybe clear up the definition of column space and how it applies to this example?

'm confused as to the definition of column space. Looking at this exercise, my understanding is that column space is the vectors that make up the span of the matrix? Could you maybe clear up the definition of column space and how it applies to this example?

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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I'm confused as to the definition of column space. Looking at this exercise, my understanding is that column space is the vectors that make up the span of the matrix? Could you maybe clear up the definition of column space and how it applies to this example?

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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