SOLUTION: Find the value of |5 3 -2| |1 0 4| |4 1 2|

Algebra ->  Matrices-and-determiminant -> SOLUTION: Find the value of |5 3 -2| |1 0 4| |4 1 2|      Log On


   

Question 474567: Find the value of
|5 3 -2|
|1 0 4|
|4 1 2|
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

 

Hi,



A=%28matrix%283%2C3%2Ca1%2Cb1%2Cc1%2Ca2%2Cb2%2Cc2%2Ca3%2Cb3%2Cc3%29%29 = %28matrix%283%2C3%2C5%2C3%2C-2%2C1%2C0%2C4%2C4%2C1%2C2%29%29 = a1(b2c3-c2b3) - b1(a2c3-c2a3) + c1(a2b3-b2a3) 

                   =   5(-4)       - 3(-14)        + -2(1) 

                   = -20 + 52 - 2 = 20