QR Decomposition
Factor a matrix as Q R via Gram-Schmidt
A = Q · R
Dimensions
3 × 3
✓ Qᵀ Q = I✓ Q R = A
Q — orthonormal columns
0.857143
-0.394286
-0.331429
0.428571
0.902857
0.034286
-0.285714
0.171429
-0.942857
R — upper triangular
14
21
-14
0
175
-70
0
0
35
Diagonal of R (column lengths)
14 · 175 · 35
Reconstruction error: 1e-28 · Orthonormality error: 3e-30