09240/Classnotes for Tuesday December 1
From Drorbn

~In the above gallery, there is a complete copy of notes for the lecture given on December 1st by Professor Natan (in PDF format).
 Wiki Format 
MAT240 – December 1st
Basic Properties of :
(Note that det(EA) = det(E)·det(A) and that det(A) may be written as A.)
0.
1.
 Exchanging two rows flips the sign.
2.
 These are "enough"!
3.
 Adding a multiple of one row to another does not change the determinant.
The determinant of any matrix can be calculated using the properties above.
Theorem:
If satisfies properties 03 above, then
Philosophical remark: Why not begin our inquiry with the properties above?
We must find an implied need for their use; thus, we must know whether a function exists first.