Mathlean · Online math workspace

QR decomposition calculator

Factor a supported matrix into orthogonal or unitary Q and upper-triangular R.

How to use this calculator

Edit the matrix in QRDecomposition. The diagonal starter has a simple orthogonal factor.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

QRDecomposition⁡([2004])\operatorname{QRDecomposition}\left(\begin{bmatrix}2&0\\0&4\end{bmatrix}\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Column signs and reduced versus full shapes can vary; compare reconstruction rather than a unique Q.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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