Consider the system 3x1 + 2x2 – x3 = 1 -2x1 + ax2 + x3 = 2 Xi + x2 = 3 1. Find the values of a for which this system has a unique solution, then use Cramer's rule to find the explicit solution, potentially as a function of a. 2. For all values of a for which the system doesn't have a unique solution, use Gaussian elimination to find out if the system has infinite solutions or no solution. If the system has infinite solutions, find an expression for them

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