Math powerhouse

Matrix Calculator

Perform matrix operations including addition, subtraction, multiplication, division, determinant, inverse, adjugate, trace, transpose, and power operations. The world's best matrix calculator with comprehensive educational content.

Matrix A Input

Matrix B Input

Click the buttons below to calculate:

Introduction to Matrices

A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. Matrices are fundamental tools in mathematics and have wide applications in:

  • Physics (quantum mechanics, relativity, electromagnetism)
  • Computer graphics (transformations, rotations, scaling)
  • Probability theory and statistics
  • Calculus and differential equations
  • Numerical analysis and computational methods

A matrix with m rows and n columns is called an m × n matrix. The element in the i-th row and j-th column is denoted as Aij.