Construct the range of a matrix.
| Any matrix.|
| A matrix containing the basis for the colums of |
a , that is, for any vector
a*x can be
written as a linear combination of the columns of
The example below illustrates the result from linear algebra that the
null space of any matrix (obtained by calling the function
null ) is orthogonal
to the range of its transpose.
>>a=[2 3 4;5 6 7]
>>b=orth(a') // b is the range of a'
>>a*c // c is the null space of a
Scaled by 10^-15
>>c'*b // columns of c and b are orthogonal.
Scaled by 10^-16