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Definition

Let a, b, c, and d be any four numbers, real or complex, the symbol 65153.png denotes adbc and is called a determinant of second order; a, b, c, and d are called elements of the determinant; and adbc is called its value.
 
Let a1, a2, a3, b1, b2, b3, c1, c2, c3 be any nine numbers, then the symbol 65147.png is another way of denoting. That is
 
65138.png
 
a1(b2c3b3c2) – a2(b1c3b3c1) + a3(b1c2b2c1)




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