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Syntax |
y = null( x) |
See Also | null , svd |
x * y
is numerically near zero.
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 columns
in x and the number of columns in y is equal
to the dimension of the null 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], [1 , 2 , 3] }
y = null(x)
y
O-Matrix will reply
{
0.408248
-0.816497
0.408248
}
Continuing with
y' * y
results in
1
and
x * y
results in
{
0
0
}