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3. [10 points] Let k be an arbitrary real constant and let x and y be variables. Find values of k such that the system

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3. [10 points] Let k be an arbitrary real constant and let x and y be variables. Find values of k such that the system has a unique solution. Hint: use Cramer's Rule. kx + 2y =k -2 8x + ky = k4. [10 points] Compute the determinant of the coefficient matrix for the following system. What can you conclude about the solution of the system? 2x + z = 0 4x + 2y - 3z = 0 5x + 3y + z=0

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