# Linear algebra

1. Sep 28, 2013

### akanksha331

A=a.a', where a is an N by 1 vector,a'a=5,and T is transpose.
a)Give the largest eigenvalue of A.
b)what is the corresponding eigenvector?

2. Sep 28, 2013

### jambaugh

To get started see if you can generate an example vector and construct A and see what the answer is for that case. Then ask what choices you had in your example and whether any of those choices change the problem.

3. Sep 29, 2013

### brmath

I'm rather confused, because $a \cdot a'$ is a number not a matrix. Where are you supposed to get A from?

4. Sep 29, 2013

### D H

Staff Emeritus
aa' is a NxN matrix. It's a'a that is a scalar.