What is the Eigenvalue Calculator?

The Eigenvalue Calculator is a tool designed to compute the eigenvalues of 2x2 and 3x3 matrices. By entering the matrix size and coefficients, the calculator performs the necessary calculations, including handling real and complex roots for 2x2 matrices and approximating roots for 3x3 matrices using numeric methods. Once the input is provided, it displays the eigenvalues clearly, helping users solve linear algebra problems efficiently. This tool is useful for students, engineers, and anyone working with matrices to verify solutions, check calculations, or explore eigenvalue properties quickly.

How to Use:

1. Enter Matrix Size: Type 2 or 3 depending on the size of your square matrix.
2. Enter Matrix Coefficients: Input all elements row-wise, separated by commas. For example, a 2x2 matrix [4,1;2,3] should be entered as 4,1,2,3.
3. Click “Calculate”: The calculator computes the eigenvalues and displays them in the result box.
4. Review the Result: Analyze the displayed eigenvalues, whether real or complex, and use them for further mathematical or engineering work.