Select a square matrix (3 x 3 or larger) from anywhere in our textbook, outside of chapter 7. Call the matrix A and make sure you tell us what the matrix is. Then: 1. Give all the eigen-information for the matrix A, including: 1. Characteristic Polynomial 2. Eigenvalues and eigenvectors 3. Algebraic multiplicity 4. Geometric multiplicity
Select a square matrix (3 x 3 or larger) from anywhere in our textbook, outside of chapter 7. Call the matrix A and make sure you tell us what the matrix is. Then: 1. Give all the eigen-information for the matrix A, including: 1. Characteristic Polynomial 2. Eigenvalues and eigenvectors 3. Algebraic multiplicity 4. Geometric multiplicity
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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BEFORE YOU POST YOUR WORK MAKE SURE YOU POST PICTURES OF YOUR WORK AND DO NOT TYPE IT, IT'S HARDER TO UNDERSTAND
Can you please solve everything of what is asking on the picture by using the matrix provided. Make sure you explain each step you make and show all of your work.
for the matrix just choose any matrix you want but it has to be a 3x3.
Thank you
Transcribed Image Text:**Initial Post Prompt**
Select a square matrix (3 x 3 or larger) from anywhere in our textbook, outside of chapter 7. Call the matrix A and make sure you tell us what the matrix is.
Then:
1. Give all the eigen-information for the matrix A, including:
1. Characteristic Polynomial
2. Eigenvalues and eigenvectors
3. Algebraic multiplicity
4. Geometric multiplicity
5. Eigenspaces
2. State whether or not we can use the eigenvectors of A to form an eigenbasis. If so, state the eigenbasis.
3. State whether or not the matrix is defective or non-defective.
4. State if the matrix is diagonalizable and state how you know.
5. If the matrix is diagonalizable, then diagonalize the matrix.
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solve the last question from the picture above, #5 eigenvalues ,2,,3,4,5 if the matrix is diagonazilble.
PLEASE WRITE THE MATRIX THE PERSON USED, I DONT KNOW WHAT MATRIX HE USED.
POST PICTURES OF YOUR WORK, DO not type it please.
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