orth¶
Purpose¶
Computes an orthonormal basis for the column space of a matrix.
Format¶
-
y =
orth(x)¶ - Parameters
x (NxK matrix) – data
- Returns
y (NxL matrix) – such that \(y'y = eye(L)\) and whose columns span the same space as the columns of x; L is the rank of x.
Global Input¶
- _orthol
(scalar), the tolerance for testing if diagonal elements are approaching zero. The default is 1.0e-14.
Examples¶
x = { 6 5 4,
2 7 5 };
y = orth(x);
After the code above:
y = -0.58123819 -0.81373347 y'y = 1 0
-0.81373347 0.58123819 0 1