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Syntax |
y = orth( x) |
See Also null , svd |
z = x * w
for some column vector w
,
there is a column vector u
such that z = y * u
.
If x is an integer matrix,
y is double-precision.
Otherwise y has the same type as x.
The number of rows in y is equal to the number of rows
in x and the number of columns in y is equal
to the dimension of the range space of x.
Each of the columns of the matrix y has norm
one
and the columns are orthogonal; i.e.;
I = conj(y)' * y
where I
is the identity matrix with the same number of columns
as y.
x = {1 , 1 , 1}
y = orth(x)
y
O-Matrix will reply
{
-0.57735
-0.57735
-0.57735
}
Continuing with
y' * y
results in
1