Given is the following SLE: a 12 1 A 13 6 b c 24 2 a) Calculate the determinant of the coefficient matrix. What does the result mean? b) Give a condition for a and/or c, for that the SLE has infinitely many solutions. c) Use the condition you found in b) to calculate the infinitely many solutions with Gaussian elimination. Represent the solutions as the parameter description of a line.

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A: Please see the below picture for detailed solution.

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