Ononot — Let T: \mathbb{R}^3 \to \mathbb{R}^3 be a linear transformat

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Vectors & Spaceshard

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Let $T: \mathbb{R}^3 \to \mathbb{R}^3$ be a linear transformation such that $T^3 = 0$ but $T^2 \neq 0$ . What is the possible rank of $T$ ?