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Markdown with LaTeX math to PDF

Write equations in LaTeX inside Markdown and export a beautifully typeset PDF — inline formulas, display equations, matrices and footnotes, with an academic layout.

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---
title: Problem Set 3 — Linear Algebra
author: Student Name
date: 2026-10-01
---

# Problem Set 3 — Linear Algebra

## 1. Eigenvalues

Find the eigenvalues of $A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}$.

**Solution.** The characteristic polynomial is

$$
\det(A - \lambda I) = (2 - \lambda)^2 - 1 = \lambda^2 - 4\lambda + 3 = (\lambda - 1)(\lambda - 3),
$$

so the eigenvalues are $\lambda_1 = 1$ and $\lambda_2 = 3$.

## 2. A useful identity

For any square matrix $A$ with eigenvalues $\lambda_i$:

$$
\operatorname{tr}(A) = \sum_{i=1}^{n} \lambda_i, \qquad \det(A) = \prod_{i=1}^{n} \lambda_i
$$

Check: $\operatorname{tr}(A) = 4 = 1 + 3$ and $\det(A) = 3 = 1 \cdot 3$. ✓

## 3. Gaussian integral

$$
\int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}
$$

> [!NOTE]
> Use `$…$` for inline math and `$$…$$` for display equations. `\(…\)` and `\[…\]` work too.

## 4. Chemistry (mhchem-free)

The reaction $2\mathrm{H}_2 + \mathrm{O}_2 \rightarrow 2\mathrm{H}_2\mathrm{O}$ releases energy.[^1]

[^1]: Footnotes are numbered automatically and collected at the end.
155 words 1,075 chars ~1 min read Ln 1, Col 1 A4 · portrait · Academic Private · on-device

Why use it

Why use this Math to PDF tool

  • Fast KaTeX typesetting

    Equations render instantly as you type and print as sharp vector glyphs at any zoom.

  • Academic theme

    Serif type, justified paragraphs, centred title and booktabs-style tables — ready for coursework.

  • Structure for long documents

    Numbered headings, a table of contents, footnotes and page numbers for theses and reports.

How to

How to use the Math to PDF converter

  1. STEP 01

    Write your math

    Use $…$ for inline math and $$…$$ (or \[…\]) for display equations.

  2. STEP 02

    Choose Academic

    Turn on Numbered headings and a footer with page numbers for a paper-like result.

  3. STEP 03

    Export the PDF

    Download PDF — equations are embedded as text and vector paths, not blurry images.

LaTeX quality without a LaTeX install

Writing a whole document in LaTeX is overkill for homework, lab reports and notes — but Markdown alone can’t do equations. Markdown with math gives you the best of both: plain-text writing with first-class formulas. This editor uses KaTeX, the fast math renderer used across the web, and the browser’s print engine to produce a PDF where every symbol is crisp.

Quick reference

You type You get
$x^2 + y^2 = z^2$ Inline equation
$$\frac{a}{b}$$ Display equation
\(\alpha\) / \[\beta\] Same, LaTeX-style delimiters
$\sum_{i=1}^n i$ Sums with limits
$\begin{pmatrix}1&0\\0&1\end{pmatrix}$ Matrices

Tips

  • Turn on Numbered headings for problem sets and reports.
  • Use footnotes ([^1]) for citations; they’re collected at the end.
  • Switch to Letter size in Style → Page if you’re in North America.

FAQ

Frequently asked questions

Which LaTeX commands are supported?

Everything KaTeX supports — fractions, roots, sums, integrals, matrices (pmatrix, bmatrix), aligned, cases, Greek letters, \operatorname, colours and more.

Can I number equations?

Use \tag{1} inside a display equation to add a number on the right.

My dollar amounts turned into math — what now?

A $ followed directly by a non-space character starts math. Escape it as \$ when you mean currency.

Does it support \( \) and \[ \] delimiters?

Yes, along with $, $$ and fenced ```math blocks.

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