Does it handle complex eigenvalues?
When the discriminant is negative the calculator reports the repeated real component. Complex visualization is planned for a future update.
Step-by-step walkthrough
Use this companion guide beside the interactive calculator to make sure you understand the “why” behind every click. Each section includes the classroom explanation, student-friendly language, and quick practice prompts.
Collect the data points listed below and double-check their units. Keeping an organized “givens” list is one of the fastest ways to reduce math errors and impress exam graders.
Step 1
Enter a 2×2 matrix with two numbers per row.
Step 2
Submit to compute eigenvalues λ₁ and λ₂ along with representative eigenvectors.
Step 3
Review supporting information like trace and determinant.
When the discriminant is negative the calculator reports the repeated real component. Complex visualization is planned for a future update.
This tool focuses on 2×2 matrices for clarity. Use the polynomial solver for higher-degree characteristic equations.