I have 6 linear equation $$ 0= -F_1\cos30 + F_3\cos60 + F_{ 1, h} \\ 0= -F_1\sin30 + F_3\sin60 + F_{ 1, v} \\ 0= F_2\cos30 + F_1 3\cos30 + F_{ 2,h)} \\ 0= F_1\sin30 + F_(2,v)+ V_2\\ 0= -F_2 -F_3\cos 60 + F_{(3,h})\\ 0= F_3\sin 60 + f_(3,v) + V_3\\ $$ my homework is required solve this equation by using tridiagonal matrix method by numerical method. i have been so confused, how to convert common matrix equation to tridiagonal form. $$ \begin{bmatrix} 0.866 & 0 & -0.5 & 0 & 0 & 0 \\ 0.5 & 0 & 0.866 & 0 & 0 & 0 \\ -0.866 & -1 & 0 & -1 & 0 & 0 \\ -0.5 & 0 & 0 & 0 & -1 & 0 \\ 0 & 1 & 0.5 & 0 & 0 & 0 \\ 0 & 0 & -0.866 & 0 & 0 & -1 \\ \end{bmatrix} \begin{Bmatrix} F_1\\ F_2\\ F_3\\ H_2\\ V_2\\ V_3\\ \end{Bmatrix} =\begin{Bmatrix}0\\-1000\\0\\0\\0\\0 \end{Bmatrix} $$
If the matrix already in the form tridiagonal I've been able to finish. and I am was confused on how to convert into tridiagonal form matrix
Any idea what the name of method to convert as tridiagonal form? Thanks