1. Let A be a square matrix such that det(Al-A)=2¹0-A-301⁰. What is the size of A? b.' c.) Is A invertible? Why or why not? How many eigenspaces does A have?

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
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1. Let A be a square matrix such that det(Al-A) = ¹⁰1⁹-301".
a.)
What is the size of A?
b.)
c.)
Is A invertible? Why or why not?
How many eigenspaces does A have?
Transcribed Image Text:1. Let A be a square matrix such that det(Al-A) = ¹⁰1⁹-301". a.) What is the size of A? b.) c.) Is A invertible? Why or why not? How many eigenspaces does A have?
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