Matrix Determinant Calculator

Matrix Determinant Calculator is a mathematical tool that uses exact rational arithmetic (BigRational) to perform matrix operations without floating-point rounding errors.

Implemented Features & Specifications:

Exact Rational Arithmetic
- Performs calculations using fractions to avoid precision loss.
- Supports fraction inputs using the '/' delimiter.

Matrix Operations
- Determinant calculation
- Inverse matrix computation
- Matrix Rank calculation
- Matrix Trace calculation
- Matrix Transposition
- System of linear equations solver (Ax = b)

Step-by-Step Resolution
- Displays row operation steps (row swaps, scaling, and addition/subtraction).

Supported Algorithms
- Sarrus' Rule (for 1x1, 2x2, and 3x3 matrices)
- Gaussian Elimination
- Bareiss Algorithm
- Automatic algorithm selection

Matrix Size & Input
- Supports square matrices from 1x1 up to 10x10.
- Custom keypad with buttons for digits, decimal point (.), fraction (/), and negative (-).

Editing & Storage
- Undo and Redo functionality for cell edits.
- History log with timestamps.
- Star/bookmark and note-taking for history items.

UI Themes
- System, Light, Dark, AMOLED, and Paper theme options.

Linear Algebra Reference
- Built-in cheat sheet covering standard matrix determinant properties.