Use gradient decent method to solve the following unconstrainted problem:

$min{x}_1^2+\frac{3}{2}{x}_2^2-x_1{x}_2-5x_2$

Set the initial point to be $x^{(0)}=(0,0{)}^T,$ parameters of backtracking search $=0\mathrm{.}2,=0\mathrm{.}5$

$($a$)$ Compute $x^{(1)}$;

$($b$)$ Does the method converge at$.x^{(1)}?$ Why?