Suppose A is a 2 x 2 real matrix with an eigenvalue A = 5+3i and corresponding eigenvector Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aj, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. -est cos(3t) – e³" sin(31) ở. y1(t) = -est sin(3t) et cos (3t) – et sin( 3t) ở 72(t) = est sin(3t)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
icon
Related questions
Question

Please answer correctly following the same format as the questions. Box the correct answer and I will give a thumbs up if the answer is correct, a thumbs down if answer is incorrect.

Chapter 7.1 Question 3

Suppose A is a 2 x 2 real matrix with an eigenvalue A = 5 + 3i and corresponding eigenvector
+
Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aj, where the
fundamental set consists entirely of real solutions.
Enter your solutions below. Use t as the independent variable in your answers.
A
-e" cos (3t) – et sin(31) ở
71(t) =
,5t
sin( 3t)
et cos (3t) – ei sin( 3t)
Ý2(t) =
est
sin(3t)
Transcribed Image Text:Suppose A is a 2 x 2 real matrix with an eigenvalue A = 5 + 3i and corresponding eigenvector + Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aj, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. A -e" cos (3t) – et sin(31) ở 71(t) = ,5t sin( 3t) et cos (3t) – ei sin( 3t) Ý2(t) = est sin(3t)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
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