Matrix Calculator
Perform various matrix operations with our easy-to-use matrix calculator. Add, subtract, multiply matrices or find transpose, determinant, and inverse with just a few clicks.
Matrix A
Matrix B
Operation
What is a Matrix?
A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. Matrices are used in various fields of mathematics, science, and engineering to represent linear transformations, solve systems of linear equations, and model real-world problems.
Matrix Operations
Our calculator supports the following matrix operations:
- Addition: Matrices of the same dimensions can be added by adding corresponding elements.
- Subtraction: Similar to addition, but corresponding elements are subtracted.
- Multiplication: Multiplies two matrices if the number of columns in the first equals the number of rows in the second.
- Determinant: Calculates the determinant of a square matrix, a single number that encodes certain properties of the matrix.
- Inverse: Finds the inverse of a square matrix, if it exists (determinant is non-zero).
- Transpose: Flips a matrix over its diagonal, switching rows and columns.
How to Use the Matrix Calculator
- Set the dimensions for Matrix A and Matrix B using the row and column inputs.
- Enter the values for each element in both matrices.
- Select the operation you want to perform from the dropdown menu.
- Click the Calculate button to see the result.
Applications of Matrices
Matrices are used in various applications including:
- Solving systems of linear equations in mathematics and physics
- Computer graphics for transformations like rotation, scaling, and translation
- Data analysis and machine learning algorithms
- Network theory and graph algorithms in computer science