Linear Algebra
Eigenvalue Equation - Linear Algebra
Learn the eigenvalue equation with examples, step-by-step guide, and calculator tools. Vector scaled by matrix
The eigenvalue equation is a fundamental concept in linear algebra. Vector scaled by matrix. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[A\vec{v} = \lambda\vec{v}\]
Variables
A
Matrix
v⃗
Eigenvector
λ
Eigenvalue
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → For A=[2 0; 0 3], λ₁=2, λ₂=3
Example 2
Example 2: λ=2, λ=3
Frequently Asked Questions
What is the eigenvalue equation?
Vector scaled by matrix
How do I calculate eigenvalue equation?
Use the formula: A\vec{v} = \lambda\vec{v}. Follow the steps provided above.
What tools can help with eigenvalue equation?
We provide online calculators: calculator