A = 2 0 T -2 2 c=[12] 0 1 0 -1 [0.5 0.0] 0.0 2.0 -2 -2 -2 -1 Ce₁ -1 Ae₂ Ce₂ 0 0 Ae₁ 1 1 2 2 B = N O -1 -2 D = 2 -1 -2 -2 [0.5 0.5] 0.5 0.5 -2 -1 -1 0.433 0.250] -0.250 0.433] Be₂ k 0 Be₁ 1 De₂ De 1 2 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
icon
Related questions
Question

Please show work. Thank you

A =
2
0
ņ
-2
2
C=
c=[2]
0
-1
[0.5 0.0]
0.0 2.0
-2
-2
-2
Cei
-1
Ae₂
Ce₂
Ae₁
01
0
1
N
2
B =
N
-
O
-1
-2
D =
ņ
2
-2
-2
-1
[0.5 0.5]
[0.5 0.5]
-2
-1
0.433 0.250]
-0.250 0.433
Be₂
Be₁
0 1
0
De₂
De
1
2
2
E =
2
1
0
-1
-2
-2
22
[0.866 -0.500
0.500
0.866
Ee₂
-1
0
Ee₁
1
2
Transcribed Image Text:A = 2 0 ņ -2 2 C= c=[2] 0 -1 [0.5 0.0] 0.0 2.0 -2 -2 -2 Cei -1 Ae₂ Ce₂ Ae₁ 01 0 1 N 2 B = N - O -1 -2 D = ņ 2 -2 -2 -1 [0.5 0.5] [0.5 0.5] -2 -1 0.433 0.250] -0.250 0.433 Be₂ Be₁ 0 1 0 De₂ De 1 2 2 E = 2 1 0 -1 -2 -2 22 [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)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning