2 3 3 -3 -4 -3 3 3 2 If A is diagonalizable, find a matrix P and a diagonal matrix D such that P¯¹AP = D. 2. Find the eigenvalues and eigenvectors of the matrix A If A is diagonalizable, calculate A³0 H 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2
2. Find the eigenvalues and eigenvectors of the matrix A= -3
3 3
-4
3 3 2
If A is diagonalizable, find a matrix P and a diagonal matrix D such that P¹AP = D.
If A is diagonalizable, calculate A 0
H
2
-3.
Transcribed Image Text:2 2. Find the eigenvalues and eigenvectors of the matrix A= -3 3 3 -4 3 3 2 If A is diagonalizable, find a matrix P and a diagonal matrix D such that P¹AP = D. If A is diagonalizable, calculate A 0 H 2 -3.
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please add more information. I need the step by step process as I do not understand where the polynomial equation was derived and how the answers for lamda were derived. and what is done with the matrixes. How D is derived. Please provide each step with english explanation with what each step is and why it is being done. Thank you

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