Consider the following linear system $3+24=9735+2=6+++=102+53=3$ a$)$ Solve the system using Matlab$/$Octave rref, backslash, and the inverse commands. Call the solution X$.[3]$ b$)$ Compute the spectral radius of the coefficient matrix. $[2]$ c$)$ Use the $2-$norm to Compute the condition number of the coefficient matrix. What the number tells you about the matrix. $[2]$ d$)$ Use Matlab$/$Octave code to solve the system using the Jacobi method starting with initial value $(0)=(0\mathrm{.}5,0\mathrm{.}5,0\mathrm{.}5,0\mathrm{.}5,0\mathrm{.}5).$ Call the solution $.$ Print $10$ iterations. $[4]$ e$)$ Use Matlab$/$Octave code to solve the system using the Gauss$-$Seidel method starting with initial value $(0)=(0\mathrm{.}5,0\mathrm{.}5,0\mathrm{.}5,0\mathrm{.}5,0\mathrm{.}5).$ Call the solution $.$ Print $10$ iterations. $[4]$ f$)$ Use Matlab$/$Octave code to compute the $2$ and $2$ for the errors in the approximation. $[3]$ g$)$ Are the two numerical methods converging to the solution? Which method is better to use. Justify your answer. $[2$