MATH 1502 Midterm: MATH 1502 GT Test309
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Test iii for calculus ii, math 1502, october 13, 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. Calculate ab and ba: (5 points) what is the relation between the matrices a and b, (15 points) a linear transformation f : ir2 f (cid:18)(cid:20) 1. Find the matrix af associated with the linear transformation f . Ii: a) (15 points) find the length of the vectors. ~b as well as the distance between the tip of the vectors: (15 points) find the angle between the vectors. Iii: a) (10 points) calculate the inverse of the matrix. Check your answer: (20 points) given the vectors.
