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2. (8 points) For this question, show your steps clearly and give full details to your solution. Consider the following system of linear equations: T

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2. (8 points) For this question, show your steps clearly and give full details to your solution. Consider the following system of linear equations: T 2ky + 3z (k2 -3)y + 32 = we 2x + (k2+ 2k -3)y + 72 = k-3 Find all value(s) of k so that the system (a) has a unique solution. (b) has no solution. (c) has infinitely many solutions. Find also the solutions to the system to part (a) and (c)

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