Math tools that show their work

Explore focused calculators that give you more than an answer. Results stay exact whenever possible, and clear worked steps show how each one was reached.

Open the matrix inverter How MathTools works

Algebra

Solve matrix and equation problems, with the important intermediate steps included.

Matrix Inversion

Invert any invertible square matrix

Determinant Calculator

Exact determinant with worked steps

Matrix Calculator

Add and multiply two matrices

Quadratic Equation Solver

Exact roots, discriminant and factored form

Eigenvalues & Eigenvectors

All eigenvalues: fractions, surds, complex pairs

Matrix Diagonalization

Decompose A into P D P⁻¹

Singular Value Decomposition

Factor A into U Σ Vᵀ

Probability

Count outcomes and explore discrete distributions without losing exact values.

Combinatorics

Factorials, permutations (nPr) and combinations (nCr)

Binomial Distribution

Exact binomial PMF, CDF, mean and variance

Analysis

Work with polynomial calculus or solve a triangle interactively.

Derivative & Integral

Differentiate and integrate polynomials

Triangle Solver

Drag a triangle or type its values — live

Number Systems

Convert and calculate in any base from 2 to 36.

Base Converter

Convert and calculate in binary, octal, decimal, hex & more