### 3) Let ( V=mathbb{R}[t]_{leq 2}, quad W=M_{2 times 2}(mathbb{R}) ) with standard basis ( mathcal{B}=left(1, t, t^{2}right), mathcal{C}=left(m_{1}, m_{2}, m_{3}, m_{4}right) ). Suppose ( varphi: V rightarrow W ) is some linear map such that, under the complexified basis ( mathcal{B}_{mathbb{C}}, mathcal{C}_{mathbb{C}} ) we have [

3) Let ( V=mathbb{R}[t]_{leq 2}, quad W=M_{2 times 2}(mathbb{R}) ) with standard basis ( mathcal{B}=left(1, t, t^{2}right), mathcal{C}=left(m_{1}, m_{2}, m_{3}, m_{4}right) ). Suppose ( varphi: V rightarrow W ) is some linear map such that, under the complexified basis ( mathcal{B}_{mathbb{C}}, mathcal{C}_{mathbb{C}} ) we have [