- #1
transgalactic
- 1,395
- 0
1.
i posted the first question on
http://img151.imageshack.us/my.php?image=98702238hn9.jpg
the problem is to find the deteminant for this big matrices
i got the solution and i was told that in order to solve it ,we
need to switch lines
and for every switch of line we multiply the matrices by (-1)
the problem is that i don't know how to find the number of times that
we switched each 2 lines
i don't know how they get the expresion bellow
2.
http://img242.imageshack.us/my.php?image=87397722lz2.jpg
my second proble is to make a proof in lenear algebra
the question is:
if V1,V2...Vn are independent vectors ,not equaled to zero
of a lenear operator of T
that belong to personal values lamda1,lamda2...lamda n
(lamda numbers are the rootes of the polinomial that we get from the matrices ).
then we need to proove that the vector of
V1,V2...Vn
are independant lenearly vectors
i tried to understand the proove there
its not finished
it is a proove using mathematical induction
i solved using mathematical induction many mathematical equations
i don't know how to use it on vectors??
i posted the first question on
http://img151.imageshack.us/my.php?image=98702238hn9.jpg
the problem is to find the deteminant for this big matrices
i got the solution and i was told that in order to solve it ,we
need to switch lines
and for every switch of line we multiply the matrices by (-1)
the problem is that i don't know how to find the number of times that
we switched each 2 lines
i don't know how they get the expresion bellow
2.
http://img242.imageshack.us/my.php?image=87397722lz2.jpg
my second proble is to make a proof in lenear algebra
the question is:
if V1,V2...Vn are independent vectors ,not equaled to zero
of a lenear operator of T
that belong to personal values lamda1,lamda2...lamda n
(lamda numbers are the rootes of the polinomial that we get from the matrices ).
then we need to proove that the vector of
V1,V2...Vn
are independant lenearly vectors
i tried to understand the proove there
its not finished
it is a proove using mathematical induction
i solved using mathematical induction many mathematical equations
i don't know how to use it on vectors??