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

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Math 136: Assignment 11NOT TO BE HANDED IN1. 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
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.
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Term
Winter
Professor
All
Tags
Linear Algebra, Algebra, Eigenvectors, Vectors, Matrices, Orthogonal matrix, following matrices, geometric multiplicities

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