Gaussian Elimination

$/5$ pts

Problem $1.$ Consider the following matrix A$.$ a$)$ Solve the matrix by hand using Gaussian$-$Elimination $($aka rewriting the matrix in its reduced$-$row$-$echelon form$).$ b$)$ Using loops and conditional statements in MATLAB, rewrite the matrix $A$ in its reduced$-$row$-$echelon form. c$)$ Finally, compare your previous results to the output of the MATLAB function ref.

$A=\left[\begin{array}{ccc}2& 4& 6\\ 5& -4& 9\end{array}\right]$