Let A be the matrix A = ( 1 -2 -1 -6 0 a) Find all eigenvalue and coresponding eigenvector of A;

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Problem 6: (2 points) DIAGONALIZATION
(-7
4
Let A be the matrix A = ( 1
-2 -1
-6
3
a) Find all eigenvalue and coresponding eigenvector of A;
b) Find a matrix P such that P¯'AP is a diagonal matrix;
c) Use result of part b, determine A2019.
Transcribed Image Text:Problem 6: (2 points) DIAGONALIZATION (-7 4 Let A be the matrix A = ( 1 -2 -1 -6 3 a) Find all eigenvalue and coresponding eigenvector of A; b) Find a matrix P such that P¯'AP is a diagonal matrix; c) Use result of part b, determine A2019.
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