SOLUTION: evaluate the following determinant -4 -3 3 5 1 -3 7 -1 2

Algebra ->  Equations -> SOLUTION: evaluate the following determinant -4 -3 3 5 1 -3 7 -1 2      Log On


   

Question 480500: evaluate the following determinant
-4 -3 3
5 1 -3
7 -1 2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

%28matrix%283%2C3%2Ca1%2Cb1%2Cc1%2Ca2%2Cb2%2Cc2%2Ca3%2Cb3%2Cc3%29%29 = %28matrix%283%2C3%2C-4%2C-3%2C3%2C5%2C1%2C-3%2C7%2C-1%2C2%29%29 

  %28matrix%283%2C3%2Ca1%2Cb1%2Cc1%2Ca2%2Cb2%2Cc2%2Ca3%2Cb3%2Cc3%29%29=  a1(b2c3-c2b3) - b1(a2c3-c2a3) + c1(a2b3-b2a3) 

             = -4[1*2-(-1*-3)] - [-3(5*2-(-3*7)] + 3[5*-1 - (1*7)]

             = 4  + 93 - 36 = 61