3. a. Solve the system by inverting the coefficient matrix and using Theorem 1.6.2 of the textbook.
-x - 2y - 3z = 0
w + x + 4y + 4z = 7
w + 3x + 7y + 9z = 4
-w - 2x - 4y - 6z = 6
b. Determine conditions on the bi’s, if any, in order to guarantee that the linear system is consistent.
x1 - 2x2 - x3 = b1
-4x1 + 5x2 + 2x3 = b2
-4x1 + 7x2 + 4x3 = b3
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