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.




var [const] GSL=Import("zklGSL");	// libGSL (GNU Scientific Library)
M:=GSL.Matrix(3,3).set(3,5,7, 1,2,3, 2,4,6);
x:=2;
println("M = \n%s\nx = %s".fmt(M.format(),x));
foreach op in (T('+,'-,'*,'/)){
   println("M %s x:\n%s\n".fmt(op.toString()[3,1],op(M.copy(),x).format()));
}
foreach op in (T("addElements","subElements","mulElements","divElements")){
   println("M %s M:\n%s\n".fmt(op, M.copy().resolve(op)(M).format()));
}
mSqrd:=M.pump(0,M.copy(),fcn(x){ x*x });  // M element by element
println("M square elements:\n%s\n".fmt(mSqrd.format()));