MATH 304 Midterm: MATH 304 Binghamton Exam2 Adrian Vasiu Practice Questions

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Practice exam 2, oct. 26, 2018, math 304-03- linear algebra. Problem 2: 6 points find the standard matrix a for the linear trans- formation (map) t : r2 r2 that maps a point into its rotation clockwise through an angle of 10 (i. e. , t = la). Problem 3: 6 points let x = {v1, v2, v3} be the set of three vectors, where v1 = [2 1 0 3]t , v2 = [1 3 2 1]t , and v3 = [1 1 1 1]t . Let w = [4 4 1 6]t . Decide if w does or does not belong to span(x) (the span of the three vectors v1, v2, v3). Find the unique vector w r3 such that k(w) = Problem 5: 6 points compute the image of the unit square under the linear transformation given by the following matrix. Problem 6: 6 points compute the inverse of the following invertible matrix.

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