Modules over simple algebras.

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Let $A$ be a finite simple $k-$algebra.

1) There exists exactly one simple $A-$module $M$ up to isomorphism.

2) Any finite $A-$module is a direct sum of copies of a simple module.

3) Two finite $A-$modules are isomorphic if and only if they have the same dimension over $k$.

How do I prove 2) and 3)?