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.

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 2CM: Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check...
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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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