[All Steps] Find a basis for each of the linear spaces (vector spaces) below and determine its dimension. a:[lla b , c d] ∈ R^2 * 2 \mid b=d b: f ∈
Question: Find a basis for each of the linear spaces (vector spaces) below and determine its dimension.
\(\mathrm{a}:\left\{\left[\begin{array}{ll}a & b \\ c & d\end{array}\right] \in \mathbb{R}^{2 \times 2} \mid b=d\right\}\)
b: \(\left\{f \in \mathcal{P}_{3} \mid f(-3)=0\right\}\).
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