Examples for

Matrix Decompositions
Matrix decompositions are a collection of specific transformations or factorizations of matrices into a specific desired form. Examples of matrix decompositions that Wolfram|Alpha can compute include triangularization, diagonalization, LU, QR, SVD and Cholesky decompositions.

Matrix Decompositions

Transform a matrix into a specified canonical form.

Compute the LU decomposition of a square matrix:

Compute a Jordan decomposition:

Compute a Schur decomposition:

Compute a Hessenberg decomposition:

Compute the QR decomposition of a matrix:

Compute a singular value decomposition:

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