This task is similar to:

   Matrix multiplication
   Matrix transposition


Task

Implement basic element-wise matrix-matrix and scalar-matrix operations, which can be referred to in other, higher-order tasks.

Implement:

   addition
   subtraction
   multiplication
   division
   exponentiation


Extend the task if necessary to include additional basic operations, which should not require their own specialised task.




   scalar =: 10
   vector =: 2 3 5
   matrix =: 3 3 $    7 11 13  17 19 23  29 31 37
 
   scalar * scalar
100
   scalar * vector
20 30 50
   scalar * matrix
 70 110 130
170 190 230
290 310 370
 
   vector * vector
4 9 25
   vector * matrix
 14  22  26
 51  57  69
145 155 185
 
   matrix * matrix
 49 121  169
289 361  529
841 961 1369