Use naive Gauss elimination to factor the following system according to the description in Section 10.2:
10x1 + 2x2 – x3 = 27
–3x1 – 6x2 + 2x3 = -61
x1 + x2 + 5x3 = –21.5
Then, multiply the resulting [L] and [U] matrices to determine that [A] is produced.
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