Brewer Adkins
05/02/2024 · High School
Let \( R: P_{2} \rightarrow R^{2} \) be the linear Tansformation defined by \( \left.T\left(a t^{2}+b t\right)+c\right)=(a, b) \) (a). Find a basis for kerT. (b). Find a rnage for range \( T \).
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- For part (a), the basis for \(\ker T\) is \(\{ 1 \}\).
- For part (b), the range of \( T \) is \(\mathbb{R}^2\).
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