Singular value decomposition calculator

How to use this calculator

Edit SVD(matrix). The returned tuple is (U,Sigma,V), with A equal to U times Sigma times the transpose of V.

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

This path is numerical and marked approximate. Repeated singular values can make singular vectors nonunique.

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