Hint for a:
recall the theorem which state that if if you replace one column with another the det. isn't changes.(wrong!!!)
for b.
det(2A)=2det(A)
for c.
det(A)=det(A^-1)
suppose:
|a b c|
|A| = |d e f | = 6
|g h i |
find the determinants of these matrices:
a)
|a c b |
B = |d f e |
|g i h |
b)2A
c) A^-1 (inverse of A)
Is there a way to find a number value for the determinants of these matrices only knowing that |A| = 6 ?
I know how to find a determinant, but this question is confusing to me since there are no values