MAT256 Study Guide - Quiz Guide: Augmented Matrix, Elementary Matrix, Gaussian Elimination

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Instructions: you have the entire class session to complete the exam. Only scienti c non- calculus enabled calculators will be allowed. Do not approximate your answers unless explicitly told to do so. I. e- answer 2 not 1. 41 you must show all work to receive credit. Incoherent or illegible answers will count as incomplete: (10 pts) given the following matrix: 1 0 2: (6 pts) use row reduction to compute a 1, (4 pts) verify that the matrix you found above is in fact the inverse of a, (10 pts) for the following system of equations: Form the augmented matrix and use gauss-jordan elimination to nd the solution: (20 pts) given the 2 2 matrix a = "1 3. Exam i: (15 pts) a cubic polynomial has horizontal tangent lines at ( 1, 3) and (1, 1). Set up and solve a system of linear equations to nd the polynomial.