A and B are matrices.Check the true statements below: If is a root of the characteristic polynomial of , then is an eigenvalue of with algebraic multiplicity If one multiple of one row of is added to another row, the eigenvalues do not change.

A and B are matrices.Check the true statements below: If is a root of the characteristic polynomial of , then is an eigenvalue of with algebraic multiplicity If one multiple of one row of is added to another row, the eigenvalues do not change.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 55E

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Question

A and B are matrices.

Check the true statements below:

		If is a root of the characteristic polynomial of , then is an eigenvalue of with algebraic multiplicity
		If one multiple of one row of is added to another row, the eigenvalues do not change.

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