Show that there do not exist scalars c₁, c₂, and C3 such that c₁(1,0, 1,0) + c2 (1, 0, 2, 1) + c3(2,0, 1, 2) = (1, -2, 2, 3)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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Show that there do not exist scalars C₁, C₂, and C3
such that
c₁(1,0, 1,0) + c₂ (1, 0, 2, 1) + c3(2,0, 1, 2) = (1, -2, 2, 3)
Transcribed Image Text:Show that there do not exist scalars C₁, C₂, and C3 such that c₁(1,0, 1,0) + c₂ (1, 0, 2, 1) + c3(2,0, 1, 2) = (1, -2, 2, 3)
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