Find the dimension of W, dim(W), and briefly justify your answer. Let WC R4 be a subspace such that W = span(w₁, W2, W3, W4), where41[!]20W1 =10102W2 =231W3 =0211W4 =

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Let WC R4 be a subspace such that W = span(w₁, W2, W3, W4), where 4 1 2 0 W1 = 1 0 1 0 9 W2 = 2 3 1 1 W3 = 0 2 1 1 W4 =

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 23CM

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Question

Find the dimension of W, dim(W), and briefly justify your answer.

Let WC R4 be a subspace such that W = span(w₁, W2, W3, W4), where
4
1
[!]
2
0
W1 =
1
0
1
0
2
W2 =
2
3
1
W3 =
0
2
1
1
W4 =

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