MATH 240 Midterm: MATH 240 UPenn 240Fall 02 Exams
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Math 240 fall 2002 final exam: solve the initial value problem. What is the dimension of v : let a be the matrix. Find the inverse of the matrix a. x1 + x3 = 0 x1 x2 + 2x3 x4 = 0. 2: a certain 4 4 matrix a has eigenvalues 0, 1, and 2. 0 (a) determine whether there exist a diagonal matrix d and an invertible matrix p such that. A = p 1dp . (b) if your answer to (a) is positive, nd the sum of all entries of d. hint: this does not require. Nding d or p : solve the initial value problem, find the solution to the system that also satis es xy = y ln x, y(e) = e. F dr where f = z2i + (sin y)j + 2xzk, and c is the curve with.
