Let M=beginpmatrix 1 & -1 & 0 -1 & 2 & -1 0 & -1 & 1 endpmatrix. If a non-zero vector X=(x, y, z)^TinR^3 satisfies M^6 X = X, then a subspace of R^3 that contains the vector X is

(B) (x, y, z)^TinR^3 : y=0, x+z=0

Q1Section A (Section A)1 of 60

Subspace containing eigenvector of matrix power

Let $M=\begin{pmatrix} 1 & -1 & 0 \ -1 & 2 & -1 \ 0 & -1 & 1 \end{pmatrix}$ . If a non-zero vector $X=(x, y, z)^T\in\mathbb{R}^3$ satisfies $M^6 X = X$ , then a subspace of $\mathbb{R}^3$ that contains the vector $X$ is

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