Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Suppose that the matrix A has the following eigenvalues and eigenvectors: 5 and A₁ = 531 with 1 = -3+4i| A2 = 53 with 2 = - 4i x Write the solution to the linear system = A x LY_ in the following forms. In eigenvalue/eigenvector form, but make sure to write it as real functions (with the sines and cosines): [x(t)] = C1 (8--80) +02 [8] help (formulas) help (matrices) In fundamental matrix form: e [ { [C1] help (formulas) help (matrices) As two equations: (write "c1" and "c2" for C1 and C2 ) x(t) = ☐ y(t) = = = help (formulas) help (formulas) Note: If you are feeling adventurous you could use other eigenvectors like 401 or -3 v2. Book: Section 3.4 of Notes on Diffy Qs Note: You can earn partial credit on this problem.

Suppose that the matrix A has the following eigenvalues and eigenvectors: 5 and A₁ = 531 with 1 = -3+4i| A2 = 53 with 2 = - 4i x Write the solution to the linear system = A x LY_ in the following forms. In eigenvalue/eigenvector form, but make sure to write it as real functions (with the sines and cosines): [x(t)] = C1 (8--80) +02 [8] help (formulas) help (matrices) In fundamental matrix form: e [ { [C1] help (formulas) help (matrices) As two equations: (write "c1" and "c2" for C1 and C2 ) x(t) = ☐ y(t) = = = help (formulas) help (formulas) Note: If you are feeling adventurous you could use other eigenvectors like 401 or -3 v2. Book: Section 3.4 of Notes on Diffy Qs Note: You can earn partial credit on this problem.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
See similar textbooks
icon
Related questions
Question

Answer all the boxes and box the answers 

Suppose that the matrix A has the following eigenvalues and eigenvectors: 5 and A₁ = 531 with 1 = -3+4i| A2 = 53 with 2 = - 4i x Write the solution to the linear system = A x LY_ in the following forms. In eigenvalue/eigenvector form, but make sure to write it as real functions (with the sines and cosines): [x(t)] = C1 (8--80) +02 [8] help (formulas) help (matrices) In fundamental matrix form: e [ { [C1] help (formulas) help (matrices) As two equations: (write "c1" and "c2" for C1 and C2 ) x(t) = ☐ y(t) = = = help (formulas) help (formulas) Note: If you are feeling adventurous you could use other eigenvectors like 401 or -3 v2. Book: Section 3.4 of Notes on Diffy Qs Note: You can earn partial credit on this problem.
Transcribed Image Text:Suppose that the matrix A has the following eigenvalues and eigenvectors: 5 and A₁ = 531 with 1 = -3+4i| A2 = 53 with 2 = - 4i x Write the solution to the linear system = A x LY_ in the following forms. In eigenvalue/eigenvector form, but make sure to write it as real functions (with the sines and cosines): [x(t)] = C1 (8--80) +02 [8] help (formulas) help (matrices) In fundamental matrix form: e [ { [C1] help (formulas) help (matrices) As two equations: (write "c1" and "c2" for C1 and C2 ) x(t) = ☐ y(t) = = = help (formulas) help (formulas) Note: If you are feeling adventurous you could use other eigenvectors like 401 or -3 v2. Book: Section 3.4 of Notes on Diffy Qs Note: You can earn partial credit on this problem.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
SEE MORE TEXTBOOKS