MATH 1502 Midterm: MATH 1502 GT Test409sol
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Test iv for calculus ii, math 1502, november 10, 2009. This test is to be taken without calculators and notes of any sorts. For example, if you mean 2 do not write 1. 414 . Show your work, otherwise credit cannot be given. Print your name (not your signature), your section number as well as the name of your ta on every page of this test. I: (10 points each) for the two systems of equations below, decide whether solutions exist or not. If they do exist calculate all of them. a) Row reduction leads to and there is no solution. b) Row reduction leads to x + 2y = 3. | 0 and there are in nitely many solution given by. Ii: consider the matrix a = [~v1, ~v2, ~v3] where. 1: (5 points) give a spanning set for img(a). The three vectors ~v1, ~v2, ~v3 form a spanning set: (5 points) give a basis for img(a).
