A 3 3 matrix A has eigenvalues -1, 1, 2, with corresponding eigenvectors, respectively. Find i.

Question:

A 3 × 3 matrix A has eigenvalues -1, 1, 2, with corresponding eigenvectors,

respectively.

Find

i. The matrix A,

ii. A²ⁿ, where n is a positive integer.

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Oct 08, 2021 02:39 AM

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A 3 3 matrix A has eigenvalues -1, 1, 2, with corresponding eigenvectors, respectively. Find i.

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1

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ANSWER i To find the matrix A we need to use the eigenvectors and eigenvalues given in the question ...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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