2x1 + 3x2 + x3 - 11x4 + 4x5 = 30 5x12x2 + 5x3 4x4+x5 = 36 1 2 + 3x3 - - 3x4 + 5x5 = 23 3x1 +4x27x3 + 2x₁5x5 = -28 -4x1 +5x2 + 2x3 + x4 - 6x5 = -15 (a) Construct the coefficient matrix. (b) Construct the augmented matrix. (c) Solve the system of linear equations using Gauss Elimination. (d) Based on your result above, is the system of linear equations, has unique solution or has no solution or has infinite solutions? explain.

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