Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Determine whether the matrices are similar. If they are, find a matrix P such that A = P−1BP.
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Transcribed Image Text:1
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Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1:
Consider the given matrix:
Here the objective is to determine whether these matrices are similar or not.
If they are, find matrix P, such that:
Step 2
According to the definition, Two n*n matrix A and B are similar if there exists an invertible n*n matrix P, Such that:
Where the P matrix is just the matrix of the eigenvector of B.
In order to find the eigenvector of B, find the eigenvalues of matrix B.
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