Determine whether the matrix is orthogonal. P = 2 I ~/3 2/3 ~/3 ا ~/31/32/3 ~/3 ~/3 N/M 2 1 12 2 3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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363-364。21

Find ||P3||-
||P3|| =
Determine whether the column vectors of the matrix form an orthonormal set.
{P₁,
P3} forms an orthonormal set.
{P₁,
1, P2, P3 does not form an orthonormal set.
P is not an orthogonal matrix.
1, P2, P3
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Transcribed Image Text:Find ||P3||- ||P3|| = Determine whether the column vectors of the matrix form an orthonormal set. {P₁, P3} forms an orthonormal set. {P₁, 1, P2, P3 does not form an orthonormal set. P is not an orthogonal matrix. 1, P2, P3 Need Help? Read It
Determine whether the matrix is orthogonal.
Find PPT
P =
Let P1 =
Find P₁ P3.
P1 P3 =
•
ORTHOGONAL.)
Find P₁ P2.
P1 P2 =
Find P2 P3.
P2 P3 =
I
Find ||P₁||.
Find ||P2||-
||P2||
=
T
W|HW|NW|N
W|HW|NW|N
Is the matrix P is orthogonal?
P is orthogonal.
P is not orthogonal.
2 2
I
N|M|MN|M
↓ 1
3
3
2
3
W|NW|NW|H
, P₂ =
N|MH|MN|M
3
and P3
=
H|MN|MN|M
If the matrix P is orthogonal, show that the column vectors of the matrix form an orthonormal set. (If the matrix is not orthogonal, enter NOT
Transcribed Image Text:Determine whether the matrix is orthogonal. Find PPT P = Let P1 = Find P₁ P3. P1 P3 = • ORTHOGONAL.) Find P₁ P2. P1 P2 = Find P2 P3. P2 P3 = I Find ||P₁||. Find ||P2||- ||P2|| = T W|HW|NW|N W|HW|NW|N Is the matrix P is orthogonal? P is orthogonal. P is not orthogonal. 2 2 I N|M|MN|M ↓ 1 3 3 2 3 W|NW|NW|H , P₂ = N|MH|MN|M 3 and P3 = H|MN|MN|M If the matrix P is orthogonal, show that the column vectors of the matrix form an orthonormal set. (If the matrix is not orthogonal, enter NOT
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