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 defined by $T(v) = Av$ where $A = \begin{pmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0 \end{pmatrix}$ . Which of the following describes the kernel of $T^2$ ?