Question: hello please help this algebra questions with clear steps 1. Consider the following system of linear equations x - y + 2z+ W = -2

hello please help this algebra questions with clear steps

1. Consider the following system of linear equations x - y + 2z+ W = -2 -2x + 2y - 5z + W = 3 3x - 3y + az + 12w = b where a and b are real numbers. Using Gaussian elimination, determine all possible values of a and b such that the system has (a) no solution; (b ) infinitely many solutions with one free variable; (c) infinitely many solutions with two free variables. Then solve the system in part (c)

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