Solve the system by inverting the coefficient matrix and using Theorem
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Solve the system by inverting the coefficient matrix and using Theorem

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

Hint
Mathematics"Out of the matrix equation, create the inverse of the coefficient matrix. On both sides of the equation, multiply the inverse of the coefficient matrix in the front. Multiply the matrices on the right and cancel the matrix on the left. To solve the system, multiply the scalar. "...
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