Question

What is an eigenvector?

Answer 1

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

Answer 2

well, an eigenvector is a non-zero vector that when multiplied with the matrix remain proportional to the original vector, that is, the eigenvector only changes magnitude and does not change direction

Answer 3

If you think of matrix multiplication as moving vectors around, an eigenvector is one that just gets longer or shorter but doesn't change direction.

Answer 4

your mom is an eigenvector

Answer 5

the concept of shortening or stretching an eigenvector is misleading since it's not the conventional vector space we are dealing with here, rather it's an abstract vector space . well if you want to see the physics behind it is the ensemble of basis which constitutes an experimental system whom we perturb with a physically realizable operator (hermittion) and then we get an observation which is real...i would like to hear back from you on this to know your further queries on this.

Answer 6

the concept of shortening or stretching an eigenvector is misleading since it's not the conventional vector space we are dealing with here, rather it's an abstract vector space . well if you want to see the physics behind it is the ensemble of basis which constitutes an experimental system whom we perturb with a physically realizable operator (hermittion) and then we get an observation which is real...i would like to hear back from you on this to know your further queries on this.