Matrix Calculator
Perform matrix addition, subtraction, multiplication, and determinant calculations
Calculator
Choose the size of each matrix and enter the values:
About the Matrix Calculator
The Matrix Calculator allows you to quickly perform essential linear algebra operations including addition, subtraction, multiplication, and determinant calculation. This tool is perfect for students, engineers, and anyone working with matrices in mathematics, physics, or computer science.
What You Can Calculate
- Matrix Addition (A + B): Sum of two matrices of the same size.
- Matrix Subtraction (A − B): Difference between two matrices of the same size.
- Matrix Multiplication (A × B): Product of two matrices when dimensions are compatible.
- Determinant (det(A)): Calculates the determinant of a square matrix.
Formulas and Methods Used
The calculator applies standard linear algebra formulas: - Addition/Subtraction: Sum or difference of corresponding elements. - Multiplication: Dot product of rows and columns. - Determinant: Recursive expansion for square matrices, including 2×2 and higher-order matrices.
How to Use the Calculator
- Set the number of rows and columns for each matrix.
- Enter the values into the generated matrix grid.
- Select the desired operation from the dropdown menu.
- The calculator instantly displays the result below the matrices.
Applications of Matrix Calculations
Matrix operations are fundamental in linear algebra, engineering, computer graphics, data science, and physics simulations. They are widely used for solving systems of equations, performing transformations, and modeling complex systems.