MAT 310 Midterm: MAT 310 SBU Fall12 PMidtermII
31 Jan 2019
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The actual midterm will consist of six problems. Sections covered:2. 7-4. 2(inclusive) with the exception of economics applications. Problem 1: find the number of path of length four connecting points a and b in the graph, find the number of loops of length four in the same graph. Problem 2: find all such that the equation y . = y has a solution y(t) with y(0) = y(1) = 0: find the general solution of y(4) Problem 3: compute the rank the matrix. 0 0: complete the set of two vectors (2, 3, 2, 1) and (6, 3, 2, 1) to a basis of r4, which of the monomials pi(x) = xi, i = 0, . , 3 is a linear combination of q1(x) = 2 + 3x 2x2 + x3 and q1(x) = 6 + 3x 2x2 + x3. Problem 4: compute the matrix inverse of. 3 x1 + x2 = 6: use a 1 to solve.
