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Consider the set of vectors B = {(1, 0, 2), (2, 1, -1), (3, 0, 7)} (1) Is 3 linearly independent? (2) Is it possible to express (x, y, z) = R³ as a linear combination of members of B.

Consider the set of vectors B = {(1, 0, 2), (2, 1, -1), (3, 0, 7)} (1) Is 3 linearly independent? (2) Is it possible to express (x, y, z) = R³ as a linear combination of members of B.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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Consider the set of vectors B = {(1, 0, 2), (2, 1, -1), (3, 0, 7)} (1) Is 3 linearly independent? (2) Is it possible to express (x, y, z) = R³ as a linear combination of members of B.
Transcribed Image Text:Consider the set of vectors B = {(1, 0, 2), (2, 1, -1), (3, 0, 7)} (1) Is 3 linearly independent? (2) Is it possible to express (x, y, z) = R³ as a linear combination of members of B.
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