MATH-205 Midterm: Bates MATH 205 100909jayawant205exam
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Explain: (5 points) suppose a, b, c and x are invertible n n matrices and (bx)t a = c. solve for x, (5 points) suppose the set {~v1, ~v2} is a linearly independent set of vectors. Explain: (8 points) let 5, b, and c be the vectors in ]r2shown in the figure. Explain: (8 points) let a = (cid:20) 1 3 2. Explain your answers: (8 points) de ne a linear transformation t by the formula t (x1, x2, x3) = (x1 + x2 3x3, 2x1 + Food 1 has 10 mg of vitamin a, 50 mg of vitamin c, and 60 mg of calcium per gram of food. Food 2 has 30 mg of vitamin a, 30 mg of vitamin c, and 20 mg of calcium per gram of food. Food 3 has 20 mg of vitamin a, 25 mg of vitamin c, and 40 mg of calcium per gram of food.
