Question: Consider the linear system: x1 + 2x2 + ax3 = b -3x1 + ax2 + 20x3= 5 2x1 + 5x2 + ax3 = 0 where

Consider the linear system: x1 + 2x2 + ax3 = b -3x1 + ax2 + 20x3= 5 2x1 + 5x2 + ax3 = 0 where a, b E R. (a) Find a row echelon form (ref) of the augmented matrix for this system. (b) For what values of a and b does the system have an infinite number of solutions? (c) For what values of a and b does the system have no solution? (d) For what values of a and b does the system have a unique solution

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