15. Suppose that the characteristic polynomial of some matrix A is found to be: p(a) = (λ— 4)³ ((A − 3)² (λ − 1) In each part, answer the question and explain your reasoning. a) What is the size of A? b) Is A invertible? c) How many eigenspaces does A have?

15. Suppose that the characteristic polynomial of some matrix A is found to be: p(a) = (λ— 4)³ ((A − 3)² (λ − 1) In each part, answer the question and explain your reasoning. a) What is the size of A? b) Is A invertible? c) How many eigenspaces does A have?

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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