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Equation & Matrix Builder

Equation & Matrix Builder

KaTeX Live

Build matrices, systems of equations, and formulas with instant KaTeX preview and publication-ready LaTeX code.

Matrix Dimensions (3 × 3)

Rows ($M$) and Columns ($N$) from 1 to 10

R:3
C:3
Presets:
\begin{pmatrix}
Cell Values(Navigate with arrows or Tab)
1,1
1,2
1,3
2,1
2,2
2,3
3,1
3,2
3,3

Symbol Palette & Quick Snippets

Click any item to insert or copy

KaTeX Live Preview
(100010001)\begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}

Generated LaTeX Code

Format:
\[
\begin{pmatrix}
  1 & 0 & 0 \\
  0 & 1 & 0 \\
  0 & 0 & 1
\end{pmatrix}
\]

Full Matrix Support

Generate round (`pmatrix`), square (`bmatrix`), curly (`Bmatrix`), determinant (`vmatrix`), and norm (`Vmatrix`) delimiters.

Systems & Piecewise Functions

`cases` and `aligned` environments with automatic equals sign alignment and custom conditions.

100% Client-Side & Private

Ultra-fast in-browser KaTeX rendering without sending formulas or data to remote servers.

Mathematical Notation Guide

LaTeX Matrices & Equation Systems Reference

Developer and academic guide for typesetting matrices, determinants, systems of linear equations, and piecewise cases in LaTeX and KaTeX.

Instant KaTeX Client-Side Math Engine

All equation layouts, matrix grid manipulations, and real-time KaTeX rendering execute strictly inside your local browser memory. Mathematical formulas are never sent to external cloud servers.

6 Standard Matrix Delimiters

Switch smoothly between pmatrix (parentheses), bmatrix (brackets), Bmatrix (braces), vmatrix (determinants), and Vmatrix (norms). Delimiter changes preserve your matrix cell entries automatically.

Aligned Equation Systems

Build clean systems of equations using the aligned environment. Automatic ampersand (&) injection aligns equals signs and equality operators seamlessly for clean publication typography.

Piecewise Cases Generator

Format piecewise-defined functions using LaTeX \begin{cases}. Specify mathematical branches and domain conditions with instant KaTeX visual feedback and Overleaf-ready code.

Preamble & Comprehensive Matrix Templates

\documentclass[11pt,a4paper]{article}
\usepackage{amsmath,amssymb} % Essential for matrix & cases environments

\begin{document}

% 1. Standard Round Delimiter Matrix (pmatrix)
\[
\mathbf{A} = 
\begin{pmatrix}
a_{11} & a_{12} & a_{13} \\
a_{21} & a_{22} & a_{23} \\
a_{31} & a_{32} & a_{33}
\end{pmatrix}
\]

% 2. System of Linear Equations with Aligned Delimiters
\[
\left\{
\begin{aligned}
2x + 3y - z &= 7 \\
-x + 4y + 5z &= -2 \\
3x - y + 2z &= 5
\end{aligned}
\right.
\]

% 3. Piecewise Function (cases environment)
\[
f(x) = 
\begin{cases}
\frac{\sin x}{x}, & \text{if } x \neq 0 \\
1, & \text{if } x = 0
\end{cases}
\]

\end{document}

Frequently Asked Questions (LaTeX Math & Matrices)

Solutions to common mathematical syntax, environment nesting, and Overleaf rendering questions.