Vectors and matrices

Eigenvalue

A scalar by which a linear transformation stretches an associated non-zero eigenvector without changing its direction line.

Common notation Av=λv

In one sentence

What does Eigenvalue mean?

A scalar by which a linear transformation stretches an associated non-zero eigenvector without changing its direction line.

How it is written

Av=λv

A compact example

For a diagonal matrix diag(2,3), the eigenvalues are 2 and 3.

Clear answers

Questions about Eigenvalue

What does Eigenvalue mean in mathematics?

A scalar by which a linear transformation stretches an associated non-zero eigenvector without changing its direction line.

How is Eigenvalue written?

A common notation is Av=λv.

What is an example of Eigenvalue?

For a diagonal matrix diag(2,3), the eigenvalues are 2 and 3.