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1. (10 points) Consider the following system of linear equations kz = 1009 x + ky + 2 = 1009 kx + y + 2

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1. (10 points) Consider the following system of linear equations kz = 1009 x + ky + 2 = 1009 kx + y + 2 = 1009 Find all values of k so that the system (a) has a unique solution. (b) has no solution. (c) has infinitely many solutions. For (a) and (c), find also the solutions to the system

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