If `A=[(3,sqrt(3),2),(4,2,0)]`and `B=[(2,-1,2),(1,2,4)]`, verify that
(i) `(Aprime)prime=A`
(ii) `(A+B)prime=Aprime+Bprime`
(iii) `(k B)prime=k Bprime`where k is any constant.

Explanation

To solve the problem step by step, we will verify the three statements involving matrices \( A \) and \( B \).

Given:
\[ A = \begin{pmatrix} 3 & \sqrt{3} & 2 \\ 4 & 2 & 0 \end{pmatrix}, \quad B = \begin{pmatrix} 2 & -1 & 2 \\ 1 & 2 & 4 \end{pmatrix} \]

### Part (i): Verify that \( (A')' = A \)
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