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Solved: cises, assume that T is a linear transformation.
Chapter 1, Problem 4E(choose chapter or problem)
QUESTION:
In Exercises 1-10, assume that T is a linear transformation. Find the standard matrix of T.
\(T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}\) rotates points (about the origin) through \(-\pi / 4\) radians (clockwise). [Hint: \(T\left(\mathbf{e}_{1}\right)=(1 / \sqrt{2},-1 / \sqrt{2})\).]
Questions & Answers
QUESTION:
In Exercises 1-10, assume that T is a linear transformation. Find the standard matrix of T.
\(T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}\) rotates points (about the origin) through \(-\pi / 4\) radians (clockwise). [Hint: \(T\left(\mathbf{e}_{1}\right)=(1 / \sqrt{2},-1 / \sqrt{2})\).]
ANSWER:Solution:Step 1 of 1Here After rotating the points (abo