Unformatted text preview: Ã— 2 case which we noted in Â§ 1.6 : Remark 1.7.4. The 3 Ã— 3 determinant has the following properties: 1. It is skewsymmetric : Interchanging two rows of a 3 Ã— 3 determinant reverses its sign (and leaves the absolute value unchanged). 2. It is homogeneous in each row: multiplying a single row by a scalar multiplies the determinant by that scalar. 3. It is additive in each row: Suppose two matrices (say A and B ) agree in two rows (say, the two second rows are the same, and the two third rows are the same). Then the matrix with the same second and third rows, but with Frst row equal to the sum of the Frst rows of A and of B , has determinant det A + det B ....
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 Fall '08
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 Calculus, Vectors, Dot Product, rows, Howard Staunton, parallelepiped OP RQ

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