Consider the matrixA =a. Suppose you know that v =85 15-5-5-5PM-82 1-9This matrix has eigenvalues λ = -2, 1,3. (You do not need to verify this yourself)1B−2 is an eigenvector of A. Find the corresponding eigenvalue.b. Using what you determined in part a., compute bases for the eigenspaces corresponding to theremaining two eigenvalues.

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Consider the matrix This matrix has eigenvalues λ = - A = a. Suppose you know that v = 8 -5 -5 -5 2 1 15 -9 -8 -2,1,3. (You do not need to verify this yourself) 1 8- -2 is an eigenvector of A. Find the corresponding eigenvalue. 3 b. Using what you determined in part a., compute bases for the eigenspaces corresponding to the remaining two eigenvalues.

Consider the matrix This matrix has eigenvalues λ = - A = a. Suppose you know that v = 8 -5 -5 -5 2 1 15 -9 -8 -2,1,3. (You do not need to verify this yourself) 1 8- -2 is an eigenvector of A. Find the corresponding eigenvalue. 3 b. Using what you determined in part a., compute bases for the eigenspaces corresponding to the remaining two eigenvalues.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 8BEXP

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