Singular Value Decomposition
Factor a matrix as U Σ Vᵀ
A = U Σ Vᵀ
Singular values
5, 3
Rank
2
Condition number
1.6667
Spectral norm (σ₁)
5
Frobenius norm
5.830952
Full rank
U — left singular vectors
0.7071
0.7071
0.7071
-0.7071
Σ — singular values
5
0
0
3
Vᵀ — right singular vectors
0.7071
0.7071
0
0.2357
-0.2357
0.9428
Multiplying U, Σ and Vᵀ back together reproduces the original matrix A.