MATH-205 Midterm: Bates MATH 205 092704haines205exam
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2 and the columns of the matrix a are. 4: determine whether or not the equation ax = b has a solution and explain your reasoning, determine whether or not b is in the span of the columns of a and explain your reasoning. (10) ii. Give an example of a linear system of equations in two variables whose solution set is a straight line. (5) iii. Give a parametric vector equation of the line through the point. , t(x) = ax , and e3 = Suppose an economy has two sectors, goods and services. Each year, goods sells 40% of its output to services and keeps the rest, while services sells 70% of its output to. Find equilibrium prices for the annual outputs of the goods and services sectors that make each sector"s income match its expenditures. (10) vii. 2 reflects points through the line x1 = x2 , give the standard matrix of the linear transformation t.
