5. Label the following statements as true or false. If true, justify the statement. If false, give a counterexample. (a) Any collection of five real numbers defines a unique vector in R5. (b) ( 1 2) and 1 are different ways to represent the same vector. (c) Let v E R". The Span(v) is a line through the origin.

5. Label the following statements as true or false. If true, justify the statement. If false, give a counterexample. (a) Any collection of five real numbers defines a unique vector in R5. (b) ( 1 2) and 1 are different ways to represent the same vector. (c) Let v E R". The Span(v) is a line through the origin.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 1AEXP

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