(b) Determine whether following vectors belong to A, and briefly justify your answer in each case: [74, 70] [70, 75] [15, 135]

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 22EQ
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Q6. Let b1 = [-1, 1]" and b2 = [1, 2]T be the basis of the lattice A.
(a) Plot the points for all vectors in A to show the pattern of the lattice between
coordinates (-10) and (10) in both dimensions.
(b) Determine whether following vectors belong to A, and briefly justify your answer in
each case:
[74, 70]
• [70, 75]
[15, 135]
Transcribed Image Text:Q6. Let b1 = [-1, 1]" and b2 = [1, 2]T be the basis of the lattice A. (a) Plot the points for all vectors in A to show the pattern of the lattice between coordinates (-10) and (10) in both dimensions. (b) Determine whether following vectors belong to A, and briefly justify your answer in each case: [74, 70] • [70, 75] [15, 135]
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