Matrix Calculator

Features of the Matrix Calculator:

1. Matrix Addition: Add two matrices.
2. Matrix Subtraction: Subtract two matrices.
3. Matrix Multiplication: Multiply two matrices.
4. Matrix Determinant: Calculate the determinant of a matrix.
5. Matrix Inversion: Find the inverse of a matrix (if it exists).

Explanation:

1. Matrix Creation:
   • We create input fields for the matrices inside <table> elements (matrixA and matrixB).
2. Matrix Operations:
   • We define functions to add, subtract, and multiply matrices.
   • The determinant() function calculates the determinant of a 2×2 or 3×3 matrix.
   • The invertMatrix() function finds the inverse of a 2×2 matrix if it exists.
3. Result Display:
   • After performing any operation, the result is displayed in the #result div.

Example Use:

• Add Matrices: You can input two 2×2 matrices and click the “Add Matrices” button to see their sum.
• Multiply Matrices: You can input two matrices and click “Multiply Matrices” to calculate their product.
• Determinant: You can input a 2×2 or 3×3 matrix and click “Determinant” to get its determinant.
• Inverse: You can input a 2×2 matrix and click “Inverse” to find its inverse.

Conclusion:

This Matrix Calculator can perform common matrix operations like addition, subtraction, multiplication, determinant calculation, and matrix inversion for 2×2 matrices. You can easily extend the functionality to support larger matrices and more advanced operations like eigenvalues or matrix rank.

Let me know if you need further customization or have questions!