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

1 Answer
Feb 9, 2016

Answer:

#|(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#