# If `v` is an eigenvector of `A` with corresponding eigenvalue `lambda` and `c` is a scalar, show that `v` is an eigenvector of `A-cI` with corresponding eigenvalue `lambda-c.` I'm not sure where to...

If `v` is an eigenvector of `A` with corresponding eigenvalue `lambda` and `c` is a scalar, show that `v` is an eigenvector of `A-cI` with corresponding eigenvalue `lambda-c.`

I'm not sure where to start here.

degeneratecircle | Certified Educator

calendarEducator since 2012

starTop subject is Math

Just start from what you're given and the definitions. Since `v` is an eigenvector of `A` with eigenvalue `lambda` , we have

`Av=lambda v.`

For `v` to...

(The entire section contains 82 words.)