- #1

- 213

- 4

## Homework Statement

Let A be a 3x3 singular Matrix that satisfy:

p(A+5I) < p(A)

p - is the rank of the matrix

I - is the identity matrix,

Is A Diagonalizable?

## Homework Equations

## The Attempt at a Solution

I know that A diagonalizable matrix can be Singular from every rank, even at 0 rank, so i can't see how i can conclude anything.

Last edited: