Question Consider the following linear system of equations: x + x + 3x3 = 2 2x...

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Question Consider the following linear system of equations: x₁ + x₂ + 3x3 = 2 2x₁ + 4x2 + 8x3 = 6 2x₁ + 6x₂ + ax3 = b Find the values of a and b, for which the resulting system has: 1-) no solutions; 2-) unique solution; 3-) infinitely many solutions. Find the solution set in this case. Question Consider the following linear system of equations: x₁ + x₂ + 3x3 = 2 2x₁ + 4x2 + 8x3 = 6 2x₁ + 6x₂ + ax3 = b Find the values of a and b, for which the resulting system has: 1-) no solutions; 2-) unique solution; 3-) infinitely many solutions. Find the solution set in this case.