HW11 - Math 136 Assignment 11 NOT TO BE HANDED IN 1 For each of the following matrices nd the eigenvalues and corresponding eigenvectors and also state

HW11 - Math 136 Assignment 11 NOT TO BE HANDED IN 1 For...

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Math 136: Assignment 11 NOT TO BE HANDED IN 1. For each of the following matrices, find the eigenvalues and corresponding eigenvectors,and also state the algebraic and geometric multiplicities of the eigenvalues.(a)A=2772(b)B=7-223 (c)C= 5-2301067-2-101 -341 2. Verify that each column ofPis an eigenvector ofA, and determine the correspondingeigenvalues. Check that the rank ofPis 3, so the columns are linearly independent. Hence(without further calculation), determineP-1AP.-72-48-1418-611,

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