20:11l 29%!Let W be the subspace of R' orthogonal to uj=(3, -3, 1, 3) and uz=(0, 1, 2, -1), that is, W=S+, whereS={uj=(3, -3, 1, 3), uz=(0, 1, 2, -1)}. FindSubtask (a): a basis and the dimension of the subspace W.Subtask (b): an orthogonal basis of the subspace W.

Given that be a subspace of orthogonal to and that is , where .

Let W be the subspace of R' orthogonal to uj=(3, -3, 1, 3) and uz=(0, 1, 2, -1), that is, W=S+, where S={u=(3, -3, 1, 3), u2=(0, 1, 2, -1)}. Find Subtask (a): a basis and the dimension of the subspace W. Subtask (b): an orthogonal basis of the subspace W.

Let W be the subspace of R' orthogonal to uj=(3, -3, 1, 3) and uz=(0, 1, 2, -1), that is, W=S+, where S={u=(3, -3, 1, 3), u2=(0, 1, 2, -1)}. Find Subtask (a): a basis and the dimension of the subspace W. Subtask (b): an orthogonal basis of the subspace W.

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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20:11
l 29%!
Let W be the subspace of R' orthogonal to uj=(3, -3, 1, 3) and uz=(0, 1, 2, -1), that is, W=S+, where
S={uj=(3, -3, 1, 3), uz=(0, 1, 2, -1)}. Find
Subtask (a): a basis and the dimension of the subspace W.
Subtask (b): an orthogonal basis of the subspace W.

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