span of a vector

How can I find the span of b

if

b=[ 1 j ]

 by matlab

Answer 1

[Wayne King]

Hi Sara, I'm not sure what A has to do with the way you have phrased your question. The span of b is simply all scalar multiples of b. Accordingly, it's just the imaginary axis.

Or did you really mean to ask whether b is in the range of A, in other words, in the span of the columns of A? In that case, did you really mean that b = [0; 1j]?

There is a difference between the following two vector spaces, the complex numbers, C, and complex-vectors with two entries, C^2.

The columns of A are vectors in C^2. The "vector" b as you have written it is just in C.

[sara s]

Hi Wayne,thanks so much for your answer

But I want to know if there is any instruction in matlab to find span and I know A is not related to my question,that is mistake :))

[Wayne King]

Hi Sara b = [0 ; 1j] is already an orthonormal basis for its span.

[sara s]

Thanks so much Wayne

Kind regards