a: Show that rows and columns of the given matrix are athogonal?2-1V13 V5 V393L =V13 V5 V39-274-38V13 V5 V39b Construct the arthogonal basis of set T= {v,, v2, V3} for R3 Where[2v, =9v, =vz =Express the vector y as a linear combiration of the ectors in T.y = |7and also show that the set T is an arthonormal basis in R3.

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Answered: a: Show that rows and columns of the…

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a: Show that rows and columns of the given matrix are arthogonal? 6 V13 V5 V39 7 L = V13 V5 V39 8. LV13 Vš V39. ,而

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.1: Orthogonality In Rn

Problem 8EQ

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Question

a: Show that rows and columns of the given matrix are athogonal?
2
-1
V13 V5 V39
3
L =
V13 V5 V39
-2
7
4
-3
8
V13 V5 V39
b Construct the arthogonal basis of set T= {v,, v2, V3} for R3 Where
[2
v, =
9
v, =
vz =
Express the vector y as a linear combiration of the ectors in T.
y = |7
and also show that the set T is an arthonormal basis in R3.

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