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Solved: Let Find the images under
Chapter 1, Problem 1E(choose chapter or problem)
Let \(A=\left[\begin{array}{ll}2 & 0 \\ 0 & 2\end{array}\right]\), and define \(T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2} \text { by } T(\mathbf{x})=A \mathbf{x}\). Find the images under T of \(\mathbf{u}=\left[\begin{array}{r}1 \\ -3\end{array}\right] \text { and } \mathbf{v}=\left[\begin{array}{l}a \\ b\end{array}\right]\).
Questions & Answers
QUESTION:
Let \(A=\left[\begin{array}{ll}2 & 0 \\ 0 & 2\end{array}\right]\), and define \(T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2} \text { by } T(\mathbf{x})=A \mathbf{x}\). Find the images under T of \(\mathbf{u}=\left[\begin{array}{r}1 \\ -3\end{array}\right] \text { and } \mathbf{v}=\left[\begin{array}{l}a \\ b\end{array}\right]\).
ANSWER:Solution
Step 1 of 3
Let T(x) = Ax where
Now, we have to Substitute the value in an Equation T(x) = Ax
