Tools

The last link of the learning chain: a formula editor, a function plotter with calculator, and a matrix calculator. Everything runs in your browser; nothing is uploaded.

Formula editor

Type LaTeX; it renders live. Click a button to insert a common structure.

\int_0^1 x^2\,dx = \left[\frac{x^3}{3}\right]_0^1 = \frac13

display

Function plotter & calculator

Type an expression in x; other letters become adjustable parameters. Drag to pan, scroll to zoom.

Parameters

a1.00

at x =1.00

f1(1) = 1.84147
f2(1) = -1

Calculator

= 1414.21

Expressions with numbers and constants only, e.g. sqrt(2)*10^3, sin(pi/6), gamma(5).

2×2 matrix calculator

Enter a matrix A and a vector v. Determinant, trace, inverse, eigenvalues/eigenvectors, Av and A² update live.

A =

v =

\det A = 3,\quad \operatorname{tr} A = 4

Av = \begin{pmatrix}2\\1\end{pmatrix}

A^{-1} = \begin{pmatrix}0.667&-0.333\\-0.333&0.667\end{pmatrix}

A^{2} = \begin{pmatrix}5&4\\4&5\end{pmatrix}

\lambda_1 = 3,\ v_1 = \begin{pmatrix}0.707\\0.707\end{pmatrix};\qquad \lambda_2 = 1,\ v_2 = \begin{pmatrix}0.707\\-0.707\end{pmatrix}

\lambda^2 - (\operatorname{tr}A)\lambda + \det A = \lambda^2 - 4\lambda + 3

Related concepts: Matrices · Eigenvalues