Eigenvalue Calculator
Calculate eigenvalues of square matrices with step-by-step solutions
Matrix Input
Results
Understanding Eigenvalues
Key Concepts
- Definition:
Eigenvalues (λ) are scalars that satisfy Ax = λx for some non-zero vector x
- Characteristic Equation:
det(A - λI) = 0, where I is the identity matrix
Applications
- Linear Transformations:
Understand how matrices transform vectors
- Principal Components:
Find principal directions of data variation