MATH-205 Midterm: Bates MATH 205 100909ross205exam
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Name: let t : ra rb be the linear transformation de ned as t (x) = ax where a = Find any/all conditions that b1, b2, b3, and b4 must satisfy in order for b to be in the range of t . Find all x such that t (x) = s. , c6 be the column vectors of q = Use your calculator to nd rref([q|b]) and copy the result here: Find all solutions of qx = b and express them in the parametric form x = p + vh where p is a particular solution of. Qx = b and vh gives all solutions of the corresponding homogeneous equation. Circle and label the two parts of your answer. Show that c2 can be expressed as a linear combination of the other ve column vectors; give an explicit lc. At least one of the column vectors is not a linear combination of the others.
