$1-$ Calculate

a$)$

$e^{At}$ where $A=\left[\begin{array}{ccc}2& 4& 10\\ 0& 1& 5\\ 0& 0& 3\end{array}\right]$

$A^{100}$ where $A=\left[\begin{array}{ccc}1& 3& -2\\ 0& 4& -2\\ 0& 3& -1\end{array}\right]$

b$)$

$2-$ Apply all four methods you learned in the class to calculate

$e^{At}$ where $A=\left[\begin{array}{ccc}1& 2& 0\\ 0& 3& 0\\ 2& -4& 2\end{array}\right]$

For the Taylor series method, you can use MATLAB or any other programming

language. Print and provide your code.