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Vectors & Spaceshard
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Let VVV be the space of 2×22 \times 22×2 matrices. What is the dimension of the subspace spanned by (1000)\begin{pmatrix} 1 & 0 \\ 0 & 0 \end{pmatrix}(10​00​), (0100)\begin{pmatrix} 0 & 1 \\ 0 & 0 \end{pmatrix}(00​10​), (1100)\begin{pmatrix} 1 & 1 \\ 0 & 0 \end{pmatrix}(10​10​)?