Question: Determine the matrix inverse for the following system: 10x 1 + 2x 2 x 3 = 27 3x 1 6x 2 + 2x

Determine the matrix inverse for the following system:

10x1 + 2x2 − x3 = 27
−3x1 − 6x2 + 2x3 = −61.5
x1 + x2 + 5x3 = −21.5

Check your results by verifying that [A][A]−1 = [I ]. Do not use a pivoting strategy.

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