- **Linear Algebra**
(*http://mymathforum.com/linear-algebra/*)

- - **Eigenvalue proof!**
(*http://mymathforum.com/linear-algebra/38205-eigenvalue-proof.html*)

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? |

All times are GMT -8. The time now is 02:04 AM. |

Copyright © 2019 My Math Forum. All rights reserved.