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Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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5. Use of matrices is not allowed to solve the following problems.
(3,2,-1), v = (-2,-3,-2), w (-1-4,-5) are linearly dependent.
(b) Prove that the vectors u = (1, -2,-1), v= (-2,3,-2), w (2, -4,-1) are linearly independent.
(a) Prove that the vectorsu =
Transcribed Image Text:5. Use of matrices is not allowed to solve the following problems. (3,2,-1), v = (-2,-3,-2), w (-1-4,-5) are linearly dependent. (b) Prove that the vectors u = (1, -2,-1), v= (-2,3,-2), w (2, -4,-1) are linearly independent. (a) Prove that the vectorsu =
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