How do you find the determinant of |(8,9,3), (3,5,7), (-1,2,4)|?

1 Answer
Jul 25, 2017

|(8,9,3),(3,5,7),(-1,2,4)|=-90

Explanation:

|(8,9,3),(3,5,7),(-1,2,4)|=8|(5,7),(2,4)|-9|(3,7),(-1,4)|+3|(3,5),(-1,2)|=

8(5*4-7*2)-9(3*4+1*7)+3(3*2+1*5)=

8*6-9*19+3*11=48-171+33=-90