Step-by-step walkthrough

Eigenvalue Calculator Guide

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.

Before you start

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.

  • eigenvalue
  • eigenvector
  • characteristic polynomial

Detailed procedure

  1. Step 1

    Enter a 2×2 matrix with two numbers per row.

  2. Step 2

    Submit to compute eigenvalues λ₁ and λ₂ along with representative eigenvectors.

  3. Step 3

    Review supporting information like trace and determinant.

Teaching & troubleshooting tips

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.

Can I analyse larger matrices?

This tool focuses on 2×2 matrices for clarity. Use the polynomial solver for higher-degree characteristic equations.

Next steps