[Solved] Which of the following are linear? If the transformation is linear, determine if it is an isomorphism. a: T: R^2 * 2 \rightarrow R^2 * 2, T(M)=[ll1
Question: Which of the following are linear? If the transformation is linear, determine if it is an isomorphism.
a: \(T: \mathbb{R}^{2 \times 2} \rightarrow \mathbb{R}^{2 \times 2}, T(M)=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right] M-M\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]\)
\(\mathrm{b}: F: \mathcal{P}_{2} \rightarrow \mathcal{P}_{2}, F: f \mapsto f^{\prime}\)
Deliverable: Word Document 
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