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Let’s group all the positive terms together and all the negative terms together:

DETERMINANTS OF 3 X 3 MATRICES. + - + We can find the determinant by expanding by minors about the first row:. Let’s group all the positive terms together and all the negative terms together: = aei + bfg + cdh – afh – bdi – ceg

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Let’s group all the positive terms together and all the negative terms together:

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  1. DETERMINANTS OF 3 X 3 MATRICES + - + We can find the determinant by expanding by minors about the first row: Let’s group all the positive terms together and all the negative terms together: = aei + bfg + cdh – afh – bdi – ceg We get the same thing be augmenting the matrix with first 2 columns, then adding all the “down” 3-term diagonals and subtracting all the “up” 3-term diagonals. We get the same expression!

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