Artificial Intelligence
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det [[2, 1, - 1, 3], [1, 1, 2, 2], [0, 1, 1, 2], [1, 0, - 3, 1]]


= 2(1(1(1) - (-3)(2)) + 2(1(2) - 2(1))) - 1(1(1(1) - (-1)(1)) + 2(0(2) - (-1)(1))) = 2(1(4) + 2(1)) - 1(1(2) + 2(1)) = 2(6) - 1(4) = 12 - 4 = 8