- #1
mathsTKK
- 31
- 0
Hi, everyone, I am mathstkk, I am new to the Physics Forum, but I think, at my first sense, this forum is going to be helpful to me^^
Recently, I met one problem about matrix.
The problem is as follow:
Show that the matrix below has NO non-trivial solution if a+b+c=0
The matrix is
1 cos(c) cos(b)
cos(c) 1 cos(a)
cos(b) cos(a) 1
With the highlighted word 'NO', is it means that the only solution to the matrix is [0]?
If it is so, I would have to find the determinant of the matrix, right?
But still I find that the working was rather complicated with the trigonometric function as the element of the matrix.
So, can someone help me to solve this problem?
I appreciate those who offers help to me^^
Thank you very much to all of you!
Recently, I met one problem about matrix.
The problem is as follow:
Show that the matrix below has NO non-trivial solution if a+b+c=0
The matrix is
1 cos(c) cos(b)
cos(c) 1 cos(a)
cos(b) cos(a) 1
With the highlighted word 'NO', is it means that the only solution to the matrix is [0]?
If it is so, I would have to find the determinant of the matrix, right?
But still I find that the working was rather complicated with the trigonometric function as the element of the matrix.
So, can someone help me to solve this problem?
I appreciate those who offers help to me^^
Thank you very much to all of you!