3 6. Work Problem 3 (- - ): V1 0 , v2 = 0 |2 vectors from 2 R³. (a) [ independent (b) . {U1, U2, V3 } form a basis for R³? | Determine if the vectors {v1, V2} are linearly Is it possible to find a vector v3, such that the set

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 6AEXP
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3
Work Problem 3 (-
): V1
=|0 |, U2 =
0 |2 vectors from
R³.
(a) [
| Determine if the vectors {v1, U2} are linearly
independent
Is it possible to find a vector v3, such that the set
(b) .
{U1, U2, U3 } form a basis for R?
Transcribed Image Text:3 Work Problem 3 (- ): V1 =|0 |, U2 = 0 |2 vectors from R³. (a) [ | Determine if the vectors {v1, U2} are linearly independent Is it possible to find a vector v3, such that the set (b) . {U1, U2, U3 } form a basis for R?
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