Question

(1 point) Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace W=\operatorname{span}\left\{\left[\begin{array}{cc} 4 & 1 \\ 1 & -3 \end{array}\right],\left[\begin{array}{cc} 5 &

-2 \\ -2 & 0 \end{array}\right]\right\} a. Find a nonzero element X in W. b. Find an element Y in that is not in W.

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