So I have two matrices:
\(\displaystyle A=\begin{bmatrix}0 & 1 & -2\\3 & -2 & 1 \\2 & -4 & -5\end{bmatrix}\)
b=\(\displaystyle \begin{bmatrix}2 \\ 0 \\1\end{bmatrix}\)
and i have to determine the column vector g so that the eigenvalues of \(\displaystyle A{c}=A-bg{T}\) (g transpose) are at \(\displaystyle -3, -2\pm3i\sqrt{\frac{3}{2}}\)
i've tried solving this in MATlab due to the lengthy algebraic expressions i am left with. is there an easier way to do this? when i try to solve the characteristic equation of the matric for the 3 values of lambda given to get the three unknowns i do not get the correct values. any suggestions??
-sorry for the messed up matrices...still new to attempting LaTex
\(\displaystyle A=\begin{bmatrix}0 & 1 & -2\\3 & -2 & 1 \\2 & -4 & -5\end{bmatrix}\)
b=\(\displaystyle \begin{bmatrix}2 \\ 0 \\1\end{bmatrix}\)
and i have to determine the column vector g so that the eigenvalues of \(\displaystyle A{c}=A-bg{T}\) (g transpose) are at \(\displaystyle -3, -2\pm3i\sqrt{\frac{3}{2}}\)
i've tried solving this in MATlab due to the lengthy algebraic expressions i am left with. is there an easier way to do this? when i try to solve the characteristic equation of the matric for the 3 values of lambda given to get the three unknowns i do not get the correct values. any suggestions??
-sorry for the messed up matrices...still new to attempting LaTex