Proof eigenvector matches to a given matrix

Imagine the given Matrix & Eigenvector:

A = [3 6; 4 8]

b = [0.75; 1]

Is there a way in MATLAB to proof whether the vector b is an eigenvector of matrix A?

Answer 1

[Steven Lord]

What is the definition of the eigenvector of a matrix?

Can you demonstrate that A and b satisfy that definition?