Addition, multiplication, transpose, determinant — run any standard matrix operation instantly, with each step shown so you can check your linear algebra homework.
A matrix calculator performs operations on matrices, which are rectangular arrays of numbers arranged in rows and columns. Matrix operations are fundamental to linear algebra and have wide applications in computer graphics, engineering, physics, economics, and data science. Whether you're solving systems of equations, transforming images, or analyzing data, matrices are an essential mathematical tool.
Matrices can be added, subtracted, multiplied, and more complex operations like finding determinants, inverses, and transposes can be performed. While manual matrix calculations become tedious with larger matrices, this calculator handles them instantly, making it invaluable for students and professionals working with linear algebra.
Multiplying [2 3; 1 4] × [5 1; 2 3]: C₁₁ = 2×5 + 3×2 = 16, C₁₂ = 2×1 + 3×3 = 11, C₂₁ = 1×5 + 4×2 = 13, C₂₂ = 1×1 + 4×3 = 13. Result: [16 11; 13 13].