Why is Guass method better for finding determinants of a 3x3 and 4x4 matrix?
The book says it saves time...
But I still find myself spending the same amount of time using the Guass method
on the matrix and then applying the long formula below:
aei + bfg + cdh - hfa - idb - gec
for calculating the determinant of a 3x3 matrix.
Assuming of course the 3x3 matrix looked like this: Imagine a left and right large brackets around the alphabets below!
a b c
d e f
g h i
The book also put a negative sign in front of the determinant mentions when the book used the Guass method on a 3x3 matrix and on a 4x4 matrix. Why is that?
I never had to put a negative sign in front of my determinant before when I was NOT using Guass method.