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Let \( T: \mathbb{R}^4 \rightarrow \mathbb{R}^4 \) be a linear transformation, and the null space of \( T \) be the subspace of \( \mathbb{R}^4 \) given by
\[ \{ (x_1, x_2, x_3, x_4) \in \mathbb{R}^4 : 4x_1 + 3x_2 + 2x_3 + x_4 = 0 \}. \]

If \( \text{Rank}(T - 3I) = 3 \), where \( I \) is the identity map on \( \mathbb{R}^4 \), then the minimal polynomial of \( T \) is

(A) \( x(x - 3) \)

(B) \( x(x - 3)^3 \)

(C) \( x^3(x - 3) \)

(D) \( x^2(x - 3)^2 \)
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