How do you find the determinant of ((2, 2, 5), (-3, -1, 2), (0, 4, -2))?

1 Answer
Alan P.
Feb 9, 2016

|(2,2,5),(-3,-1,2),(0,4,-2)|=-60

Explanation:

|(color(red)(2),color(blue)(2),color(green)(5)),(-3,-1,2),(0,4,-2)|

color(white)("XXXXXX")=color(red)(2xx|(-1,2),(4,-2)|)-color(blue)(2xx|(-3,2),(0,-2)|)+color(green)(5xx|(-3,-1),(0,4)|)

color(white)("XXXXXX")=color(red)(2(2-8))-color(blue)(2(6-0))+color(green)(5(-12-0))

color(white)("XXXXXX")=(color(red)(-12))-(color(blue)(-12))+(color(green)(-60))

color(white)("XXXXXX")=-60

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