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Calculators
Math Calculators
Linear Algebra Calculators
SVD Calculator

SVD Calculator

Free online SVD Calculator. Part of our comprehensive Math Calculators suite.

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About SVD Calculator

Our SVD Calculator is a powerful online tool designed to compute the Singular Value Decomposition (SVD) of any given matrix. SVD is a fundamental matrix factorization technique that decomposes a matrix into three simpler matrices: U, Σ (Sigma), and Vᵀ. This decomposition reveals crucial insights into the matrix's structure, rank, and underlying components.

It's an indispensable resource for students, researchers, data scientists, and engineers working in fields like linear algebra, machine learning, signal processing, and statistics. The calculator streamlines the often complex and time-consuming manual computation of SVD, offering quick, accurate results. It facilitates understanding of concepts such as dimensionality reduction, principal component analysis (PCA), and matrix approximation, making advanced mathematical operations accessible and efficient.

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Space between columns, newline between rows

Determinant |A|

-2.00

Matrix Rank

2

LU Decomposition (L)

[ 1.00 0.00 ]
[ 3.00 1.00 ]

QR Decomposition (Q)

[ 0.32 0.95 ]
[ 0.95 -0.32 ]