Given the vectors (2 -1 0), (1 2 -3), ( 1 -3 2) in R3 | a) Determine whether the first vector is a linear combination of other two vectors. b) Determine whether the vector v = (2-1-3) belongs to span {( 2 -1 0), (1 2 -3), ( 1 -3 2)}

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 12EQ
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Q3
Given the vectors
(2 -1 0), ( 1 2 -3 ), ( 1 -3 2) in R3
a) Determine whether the first vector is a linear
combination of other two vectors.
b) Determine whether the vector v = ( 2 -1 -3)
belongs to span
{( 2 -1 0), (1 2 -3), ( 1 –3 2)}
Transcribed Image Text:Given the vectors (2 -1 0), ( 1 2 -3 ), ( 1 -3 2) in R3 a) Determine whether the first vector is a linear combination of other two vectors. b) Determine whether the vector v = ( 2 -1 -3) belongs to span {( 2 -1 0), (1 2 -3), ( 1 –3 2)}
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