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Perform matrix addition, subtraction, multiplication, scalar multiplication, transpose, and determinant calculations. Supports matrices up to 4×4.
A matrix is a rectangular array of numbers arranged in rows and columns. Matrix operations — addition, multiplication, transposition, and determinant calculation — are fundamental in linear algebra, computer graphics, physics, and engineering.
Formula
det([[a,b],[c,d]]) = ad − bca, b, c, d = elements of a 2×2 matrix
det = determinant — a scalar value encoding scale and orientation
Worked Example
Multiply [[1,2],[3,4]] × [[5,6],[7,8]]
Did you know? Matrix multiplication is the backbone of modern computer graphics — every 3D transformation (rotation, scaling, translation) is performed by multiplying vertex coordinates by 4×4 transformation matrices, billions of times per second in GPUs (source: Khronos Group / OpenGL specification).
Sources
Convert between degrees, radians, gradians, turns, and arc units for math and science.
Balance chemical equations by finding the correct coefficients for reactants and products.
Calculate radius, diameter, circumference, area, arc length, and sector area from any input.
Convert between kg/m³, g/cm³, lb/ft³, and more. Includes material density reference.
Differentiate polynomial functions with step-by-step power rule application.
Solve C₁V₁ = C₂V₂ for any missing variable in solution dilution problems.