(3)(a)(b)(c)(d)(f)2Consider matrix A =Find the characteristic polynomial of matrix A.Find eigenvalues of the matrix A.Find a basis for the eigenspaces of matrix A.What is the algebraic and geometric multiplicities of its eigenvalues.(e)Show that the matrix is diagonalizable and find an invertible matrix P anda diagonal matrix D such that P-¹AP = DFind a formula for A".

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(3) (a) (b) (c) 2 Consider matrix A = Find the characteristic polynomial of matrix A. Find eigenvalues of the matrix A. Find a basis for the eigenspaces of matrix A.

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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(3)
(a)
(b)
(c)
(d)
(f)
2
Consider matrix A =
Find the characteristic polynomial of matrix A.
Find eigenvalues of the matrix A.
Find a basis for the eigenspaces of matrix A.
What is the algebraic and geometric multiplicities of its eigenvalues.
(e)
Show that the matrix is diagonalizable and find an invertible matrix P and
a diagonal matrix D such that P-¹AP = D
Find a formula for A".

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i need the answer quickly
P=9