SOLUTION: The determinant of a 4x4 matrix The matrix is as follows: 3,2,0,1 -5,-4,5,-3 -1,3,4,7 0,2,-3,-2 Is it possible to do this as you would do the determinant of a 3x3, rather tha

Algebra ->  Matrices-and-determiminant -> SOLUTION: The determinant of a 4x4 matrix The matrix is as follows: 3,2,0,1 -5,-4,5,-3 -1,3,4,7 0,2,-3,-2 Is it possible to do this as you would do the determinant of a 3x3, rather tha      Log On


   

Question 851643: The determinant of a 4x4 matrix
The matrix is as follows:
3,2,0,1
-5,-4,5,-3
-1,3,4,7
0,2,-3,-2
Is it possible to do this as you would do the determinant of a 3x3, rather than using the cofactors etc.
therefore it becomes a 3x3 due to 0x anything is 0 so the third one along is not included.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Check entries (3x3 matrix with 0 coefficient not included in work Up)

D=3%28matrix%283%2C3%2C-4%2C-5%2C-3%2C3%2C4%2C7%2C2%2C-3%2C-2%29%29-2%28matrix%283%2C3%2C-5%2C5%2C-3%2C-1%2C4%2C7%2C0%2C-3%2C-2%29%29-1%28matrix%283%2C3%2C-5%2C-4%2C5%2C-1%2C3%2C4%2C0%2C2%2C-3%29%29 =3(-101) - 2(-84) - 1(87)