Calculator
This calculator helps you perform Singular Value Decomposition (SVD) on matrices. It's designed for students and professionals in fields such as mathematics, engineering, and computer science.
Results
Data Source and Methodology
All calculations are based on standard mathematical formulas as detailed in scientific literature. Learn more about SVD here.
The Formula Explained
SVD is calculated as \( A = U \Sigma V^T \), where \( A \) is the original matrix, \( U \) and \( V \) are orthogonal matrices, and \( \Sigma \) is a diagonal matrix.
Glossary of Terms
- Matrix: A rectangular array of numbers arranged in rows and columns.
- SVD: Singular Value Decomposition, a method of decomposing a matrix into three matrices.
- Orthogonal Matrix: A square matrix whose columns and rows are orthogonal unit vectors.
Frequently Asked Questions (FAQ)
What is Singular Value Decomposition?
SVD is a method to decompose a matrix into three simpler matrices, which can be used for various applications in signal processing, statistics, and more.
How accurate is this calculator?
This calculator uses precise algorithms to ensure the accuracy of the results, but manual verification is recommended for critical calculations.