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Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 10EQ
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You need to provide a clear and detailed solution for the following Questions: Question Let W be the subspace of P3 spanned by S={³+²-2t+1, 212²+2, ³-2t, 2t³+31²-4t+3} a) Check whether the set Sis linearly dependent or independent. b) Find a basis for W. What is the dimension of W.
Transcribed Image Text:You need to provide a clear and detailed solution for the following Questions: Question Let W be the subspace of P3 spanned by S={³+²-2t+1, 212²+2, ³-2t, 2t³+31²-4t+3} a) Check whether the set Sis linearly dependent or independent. b) Find a basis for W. What is the dimension of W.
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