Ononot — Let V be the vector space of all 2 \times 2 matrices. Consid

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Vectors & Spaceshard

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Let $V$ be the vector space of all $2 \times 2$ matrices. Consider the subspace $W$ consisting of matrices $A$ such that $A \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix} = \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix} A$ . What is the dimension of $W$ ?