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Eigenvalue proof!Suppose that A is an n x n matrix with eigenvalues ?1,..., ?n. Let B=A + rI where r is an arbitrary scalar. Prove that the eigenvalues of B are: (?1 + r),...,( ?n + r) If anyone has ideas, any help appreciated :) |

Re: Eigenvalue proof!For matrices A and B and vector v, you have: (A+B)v = Av + Bv Maybe you can take it from there. |

Re: Eigenvalue proof!Just to be clear -> rI where I is identity matrix Thank you for your fast reply. What is v? |

Re: Eigenvalue proof!Quote:
any matrices. Maybe I should have used X and Y to avoid confusion.I assume you know what eigenvalues and eigenvectors are? |

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