3. Consider the following system of linear equations: x +y+z = 2, x +2y+3z = 5, 2.x + 3y + (m - 3)z = m. i. Write the linear system as a matrix equation. ii. Obtain the reduced echelon matrix of the system. Find the values of m such that (a) the system has a unique solution, (b) the system has infinitely many solutions, (c) the system is inconsistent. iii.

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A: (a)

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A:

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A: