D = 2 O -1 -2 [0.5 0.5] 0.5 0.5 -2 -1 0 De₂ De 1 2 3 2 - -1 11 -2 -2 22 [0.866 -0.500] 0.500 0.866 Ee₂ -1 0 Ee₁ 1 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 5E
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Question

D and E please. Please show work

A
2
1
0
-1
-2
2
1
0
-1
-2
[0.5 0.0]
0.0 2.0
-2 -1
-2
NO
Cei
-1
Ae₂
Ce₂
0
0
Ae₁
1
1
2
2
B=
2
1
0
-1
-2
D =
2
1
0
-1
-2
-2
-1
0.5 0.5
[0.5 0.5]
-2
-1
0.433 0.250]
-0.250 0.433
Bez
0
Be
0
1
De₂
De₁
1
2
2
E =
2
1
0
-1
-2
-2
[0.866 -0.500]
0.500
0.866
Ee₂
-1
0
Ee₁
1
2
Transcribed Image Text:A 2 1 0 -1 -2 2 1 0 -1 -2 [0.5 0.0] 0.0 2.0 -2 -1 -2 NO Cei -1 Ae₂ Ce₂ 0 0 Ae₁ 1 1 2 2 B= 2 1 0 -1 -2 D = 2 1 0 -1 -2 -2 -1 0.5 0.5 [0.5 0.5] -2 -1 0.433 0.250] -0.250 0.433 Bez 0 Be 0 1 De₂ De₁ 1 2 2 E = 2 1 0 -1 -2 -2 [0.866 -0.500] 0.500 0.866 Ee₂ -1 0 Ee₁ 1 2
Calculate or determine the following:
• Whether or not the matrix is orthonormal (recall definition from lec 13)
• The determinant
• Whether or not the matrix is invertible (you do not need to compute the inverse)
• The trace (recall definition from lec 16)
• The eigenvalues and eigenvectors (recall examples we did on whiteboard in lec 16)
Transcribed Image Text:Calculate or determine the following: • Whether or not the matrix is orthonormal (recall definition from lec 13) • The determinant • Whether or not the matrix is invertible (you do not need to compute the inverse) • The trace (recall definition from lec 16) • The eigenvalues and eigenvectors (recall examples we did on whiteboard in lec 16)
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