Mathlean · Online math workspace
Cholesky decomposition calculator
Factor a supported positive-definite symmetric matrix using Cholesky decomposition.
How to use this calculator
Edit the symmetric positive-definite starter. The returned lower-triangular L satisfies A=L times its transpose.
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
Interactive tools require JavaScript. You can read the guide and example without it.
What to know
An arbitrary symmetric matrix is not necessarily positive definite; a failed factorization is not a zero result.
Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.