Vectors and matrices
Eigenvalue
A scalar by which a linear transformation stretches an associated non-zero eigenvector without changing its direction line.
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.
Where this fits
When should you learn Eigenvalue?
The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.
- 1Pre-high schoolPrepare foundations
- 2High schoolUsually introduced
- 3CollegeGreater depth
- 4AdvancedGreater depth
- Vectors
- Linear algebra
- Algebra
- Coordinates
- Functions
- Transformations
- Eigenvalues
- State spaces
States and operators are represented using vectors, matrices and linear transformations.
Open the Zero-to-QM pathClear 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.