True of false If one of the eigenvalues of a matrix has a multiplicity of 2, then two eigenvectors of this matrix are linearly dependent. One of the eigenvalues of Matrix A is 2. If we add to Matrix A a diagonal matrix with diagonal elements all equal to 2, then one of the eigenvalues of the resulting matrix is 4.
True of false If one of the eigenvalues of a matrix has a multiplicity of 2, then two eigenvectors of this matrix are linearly dependent. One of the eigenvalues of Matrix A is 2. If we add to Matrix A a diagonal matrix with diagonal elements all equal to 2, then one of the eigenvalues of the resulting matrix is 4.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 11AEXP
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- If one of the eigenvalues of a matrix has a multiplicity of 2, then two eigenvectors of this matrix are linearly dependent.
- One of the eigenvalues of Matrix A is 2. If we add to Matrix A a diagonal matrix with diagonal elements all equal to 2, then one of the eigenvalues of the resulting matrix is 4.
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