Decompose a matrix using various methods: LU decomposition (A = LU, for solving linear systems), Cholesky decomposition (A = LL^T, for positive definite matrices in risk models), QR decomposition (A = QR, for least squares and eigenvalue problems), or Singular Value Decomposition (A = UΣV^T, for dimensionality reduction and pseudoinverses). Essential for numerical stability, solving systems, and matrix analysis.
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