2. Consider the following system of equations 3x + 4y + 5z = 66 7x + 4y + 3z = 74 8x + 8y + 9z = 136 bro (a) Write down the associated augmented matrix for this system of equations and the coef- ficient matrix A. (b) By performing elementary row operations of the augmented matrix, solve the system of equations or show that no solution exits. In case there exist infinitely many solutions, then the solution to the system must be written in a parametric form. (c) Based on your answer to (b), what is the rank of the coefficient matrix A ?

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