Word Count : 283

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To determine if the vector \(\begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix}\) is an eigenvector of the matrix \[ A = \begin{bmatrix} 1 & 0 & 0 & 1 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 1 & 1 _______ _____ ______ ____ __________ ________ __________ ___ ______ _______ ___ __________.
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