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A = [0 2 4 4]
[0 3 -1 6]
[0 5 7 10]
[1 6 -2 12]
[0 2 4 4| 0 2 4]
[0 3 -1 6| 0 3 -1]
[0 5 7 10| 0 5 7]
[1 6 -2 12| 1 6 -2]
det A = {[0×3×7×12]+[2×(-1)×10×1]+[4×6×0×6]+[4×0×5×(-2)]}-{[4×3×0×12]+[2×0×10×(-2)]+[0×6×7×6]+[4×(-1)×5×1]} =
det A = {[0×7×12]+[-2×10×1]+[24×0×6]+[0×5×(-2)]}-{[12×0×12]+[0×10×(-2)]+[0×7×6]+[-4×5×1]} =
det A = {[0×12]+[-20×1]+[0×6]+[0×(-2)]}-{[0×12]+[0×(-2)]+[0×6]+[-20×1]} =
det A = {0+[-20]+0+[-0]}-{0+[-0]+0+[-20]} =
{0-20+0-0}-{0-0+0-20} =
{0-20}-{0-20} =
-20-{-20} =
-20+20 =
0 = 0
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