Unformatted text preview: (e) What is the dimension of the column space of A ? By noting the basic variables, determine a basis for the column space of A without row-reducing A T . (f) If b lies in the column space of A , it should be expressible as a linear combination of the basis vectors found in part(e), i.e. b = c 1 v 1 + ² ² ² . By inspection of the solution found in part (c), determine the coe±cients that appear in this linear combination, and verify that the linear combination of basis vectors indeed sums to the vector b used in part (c). 2. (Additional problems will be sent later) 1...
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- Fall '08