Math Problem Statement
what is the svd for A = 3 0 0 −2
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Singular Value Decomposition (SVD)
Eigenvalues and Eigenvectors
Matrix Factorization
Formulas
A = U Σ V^T
A^T A = V Σ^2 V^T
AA^T = U Σ^2 U^T
Theorems
Singular Value Decomposition Theorem
Eigenvalue Theorem for Symmetric Matrices
Suitable Grade Level
Undergraduate Level (Linear Algebra)
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