Part $1$: Matrix Operations

$1\mathrm{.}1[3$ pt$]$ Write a function called operations that takes three inputs: a real number $c($a float$)$ and two matrices A and $B($numpy arrays$).$ It should return a dictionary that has seven keyvalue pairs:

shape: the shape of $A($as a tuple$)$

scale: A scaled by $c($as a numpy array$)$

sum: A plus $B($as a numpy array$)$

difference: A minus $B($as a numpy array$)$

elementwise$\_$multiplication: elementwise multiplication between A and $B($as a numpy array$)$

matrix$\_$multiplication: matrix multiplication between A and $B($as a numpy array$)$

transpose: A transposed $($as a numpy array$)$

If the shapes of A and $B$ are such that a certain key's value is not mathematically