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

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Use interactive calculators for LU, Jordan, Schur, Hessenberg, QR and singular value matrix decompositions and get answers to your linear algebra questions.

LU decomposition of {{7,3,-11},{-6,7,10},{-11,2,-2}}

Jordan decomp {{-10,1,7},{-7,2,3},{-16,2,12}}

Schur decomp {{5.4,4.0,7.7},{3.5,-0.7,2.8},{-3.2,5.1,0.8}}

Hessenberg decomp {{5.4,4.0,7.7},{3.5,-0.7,2.8},{-3.2,5.1,0.8}}

Matrix Decompositions

Matrix Decompositions

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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