Answer
See below
Work Step by Step
An example of set of matrix functions $A$ and $B$ defined on all of $R$ such that $A(0) = B(0)$ and $A(1) = B(1)$ could be:
$A=\begin{bmatrix}
t & t^2
\end{bmatrix}$
and $B=\begin{bmatrix}
t^3 & t^5
\end{bmatrix}$
