Question
Determine the matrix of the given transformation $$T: \mathbb{R}^{n} \rightarrow \mathbb{R}^{m}$$.$$T\left(x_{1}, x_{2}, x_{3}\right)=x_{1}+5 x_{2}-3 x_{3}$$.
Step 1
Since the domain of our transformation is $\mathbb{R}^{3}$, we're going to choose the standard basis for $\mathbb{R}^{3}$, which is $\{(1,0,0), (0,1,0), (0,0,1)\}$. Show more…
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