Finding Eigenvalues

Linear Algebra for Machine Learning · Axiom Academy

Complete worked example with interactive questions Problem: Find all eigenvalues of this matrix Let's find the eigenvalues of: Step 1: Form the Characteristic Equation Step 2: Compute the Determinant Question 1: What is the characteristic equation? Question 2: What are the eigenvalues? This matrix has two distinct eigenvalues: λ₁ = 6 and λ₂ = 4. Both are real and positive. λ₁ = 6: The first eigenvector gets scaled by a factor of 6 λ₂ = 4: The second eigenvector gets scaled by a factor of 4

This is the written version of the interactive lesson above. See the full Linear Algebra for Machine Learning course.