Find the Largest Eigenvalue & Eigenvector of A

[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?

Please help me to solve the problem.

 

[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.

 

[brmath]

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

 

[D H]

aa' is a NxN matrix. It's a'a that is a scalar.akanksha331, read your personal messages. This thread is closed.