The matrix M = has two eigenvalues: 9 and 6. The eigenvector that corresponds to 7 1 2 8 = 9 is The eigenvector that corresponds to X = ]. Determine a similarity transform which makes M diagonal. In other words, find a matrix P such that P-¹MP is a diagonal matrix. 6 is

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
icon
Related questions
Question
The matrix
M =
7 1
28
has two eigenvalues: 9 and 6.
The eigenvector that corresponds to >
-
9 is
1
2
The eigenvector that corresponds to λ = 6 is
Determine a similarity transform which makes M diagonal. In other words, find a
matrix P such that P-¹MP is a diagonal matrix.
Transcribed Image Text:The matrix M = 7 1 28 has two eigenvalues: 9 and 6. The eigenvector that corresponds to > - 9 is 1 2 The eigenvector that corresponds to λ = 6 is Determine a similarity transform which makes M diagonal. In other words, find a matrix P such that P-¹MP is a diagonal matrix.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning