MATH 551 Midterm: MATH 551 KSU Test1.0 S16
15 Feb 2019
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Show all your work: on each problem, 1 point is dedicated to communication. Problem 1 [10 points] solve the linear system: x1 + 2x2 x3 + x4 = 1. 2x1 + 3x2 x3 + x4 = 0 x1 + 3x2 2x3 + x4 = 2. Problem 2 [10 points] find the inverse of the matrix and check that your result is correct: Problem 4 [10 points] find the 2rd degree polynomial that ts the data points (0, 1), (1, 4), ( 1, 0). Problem 5 [10 points] find the reduced echelon form and the rank of: Problem 6 [10 points] find a value of the parameter such that the matrix a is not invertible. Find the inverse of a for = 1. Problem 7 [10 points] solve the matrix equation: 2 3 (cid:21) x = (cid:20) 2 1 1 (cid:20) 1 2. Problem 8 [10 points] nd , and such that:
