Proving Linearity of Matrix Operators: Is L(A)=2A a Linear Operator?

[Dustinsfl]

L(A)=2A

My book doesn't have any examples of how to do this with matrices so I don't know how to approach this.

 

[Mark44]

Are you supposed to show that L is a linear operator? If so, just show that
1) L(A + B) = L(A) + L(B)
2) L(cA) = cL(A)

Here A and B are n x n matrices and c is a scalar.