1. Let 1 -0-0-0-0 = = = (a) (5 points) Find a orthonormal set {q1, 92, 93, 94} such that span{a₁, ..., a¿} for i = 1,2,3,4. Give exact answer and show your workings clearly. (b) (5 points) Let A = = span{1,..., q} QR = (a₁ a2 a3 a4) and Q = (91 92 93 94). Write A for some upper triangular matrix R. Give exact answer and explain how you derive your answer. (c) (2 points) Find the projection of workings clearly. 3 onto V = span{q1, 92, 93, 94}. Show your

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...
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1. Let
1
-0-0-0-0
=
=
=
(a) (5 points) Find a orthonormal set {q1, 92, 93, 94} such that span{a₁, ..., a¿}
for i = 1,2,3,4. Give exact answer and show your workings clearly.
(b) (5 points) Let A
=
=
span{1,..., q}
QR
=
(a₁ a2 a3 a4) and Q = (91 92 93 94). Write A
for some upper triangular matrix R. Give exact answer and explain how you derive
your answer.
(c) (2 points) Find the projection of
workings clearly.
3
onto V = span{q1, 92, 93, 94}. Show your
Transcribed Image Text:1. Let 1 -0-0-0-0 = = = (a) (5 points) Find a orthonormal set {q1, 92, 93, 94} such that span{a₁, ..., a¿} for i = 1,2,3,4. Give exact answer and show your workings clearly. (b) (5 points) Let A = = span{1,..., q} QR = (a₁ a2 a3 a4) and Q = (91 92 93 94). Write A for some upper triangular matrix R. Give exact answer and explain how you derive your answer. (c) (2 points) Find the projection of workings clearly. 3 onto V = span{q1, 92, 93, 94}. Show your
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