(3) Let a = (1, –2, 0), a2 = (0, 1, 2), a3 = (5, –6, k) in R³. %3D %3D (a) Are a1, a2 linearly independent? (b) Find all k ER making a1, a2, a3 linearly dependent.

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 17CM
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(3) Let a = (1, -2, 0), a2 = (0, 1, 2), az = (5,–6, k) in R°.
(0, 1, 2), ag = (5, -6, k) in R³.
%3D
(a) Are a1, a2 linearly independent?
(b) Find all k ER making a1, a2, a3 linearly dependent.
Transcribed Image Text:(3) Let a = (1, -2, 0), a2 = (0, 1, 2), az = (5,–6, k) in R°. (0, 1, 2), ag = (5, -6, k) in R³. %3D (a) Are a1, a2 linearly independent? (b) Find all k ER making a1, a2, a3 linearly dependent.
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