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## Homework Statement

Hi, guys. The question is: For a 3-state system, |0⟩, |1⟩ and |2⟩, write the matrix representation of the raising operators ## \hat A, \hat A^\dagger ##, ## \hat x ## and ##\hat p ##.

## Homework Equations

I know how to use all the above operators projecting them on eigenstates.

## The Attempt at a Solution

I don't knowhow to representate this 3-state system in the matrix form. I know that ## \langle m | A| m' \rangle ## is used to get the matrix, but I don't how to get the matrix form for this 3-state. Is it a colum vector?