This diagonalize matrix calculator will swiftly transform your square matrix into its diagonalized form, helping you to simplify complex matrix operations.

**How to use the calculator:**

Enter the size of your matrix (NxN), and then click on “Set Size & Enter Matrix”. Once the input fields appear, enter the values of your matrix into the corresponding fields. After filling out the matrix, click “Calculate”. The result will be displayed in the text area below.

**How it calculates the results:**

Matrix diagonalization is the process of converting a given square matrix into a diagonal matrix by a similarity transformation. This calculator supposedly computes the eigenvectors and eigenvalues of the matrix, then forms the diagonal matrix from the eigenvalues and the transformation matrix from the eigenvectors. The result should be a product of the transformation matrix, the diagonal matrix, and the inverse of the transformation matrix.

**Limitations:**

This implementation is only a template and does not perform actual diagonalization. It is set to work with matrices up to 4×4 in size for demonstration purposes. To execute matrix diagonalization, a suitable algorithm must be implemented that can handle finding eigenvalues and eigenvectors, which is a complex task not included in this code example.