Mathlean · Online math workspace

LU decomposition calculator

Factor a supported matrix into lower and upper triangular factors.

How to use this calculator

Edit LUDecomposition(matrix). The returned tuple is (P,L,U), with P times A equal to L times U.

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

LUDecomposition⁡([2143])\operatorname{LUDecomposition}\left(\begin{bmatrix}2&1\\4&3\end{bmatrix}\right)

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

What to know

Pivoting conventions differ. Verify the reported factor order when reconstructing the original matrix.

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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