span of a vector
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Wayne King
2012-1-7
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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.
3 个评论
sara s
2012-1-7
Wayne King
2012-1-7
Hi Sara b = [0 ; 1j] is already an orthonormal basis for its span.
sara s
2012-1-7
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