The column space is just the space spanned by the columns of A. (But in this problem they also form a basis for the column space because they're linearly independent.)
If b is in the column space of A, then there exits an , and such that
I am stuck on how to work out this question.
1) In each case determine whether b is in the column space of A, and if so, express b as a linear combination of the column vectors A.
My answer so far to (b):
Is someone able to let me know if this column space is correct?
My main question: If so, how am I supposed to find out if b is in the column space?