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# Solved: cises, assume that T is a linear transformation. ISBN: 9780321982384 49

## Solution for problem 4E Chapter 1.9

Linear Algebra and Its Applications | 5th Edition

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Problem 4E

In Exercises, assume that T is a linear transformation. Find the standard matrix of T.T : ?2? ?2 rotates points (about the origin) through ??/4 radians (clockwise). [Hint: T(e1) = (l/ , ?1/ ).]

Step-by-Step Solution:

Solution:Step 1 of 1Here After rotating the points (about the origin) through -/4 radians, we get And Now the standard matrix becomes Hence the standard matrix is .

Step 2 of 1

##### ISBN: 9780321982384

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Solved: cises, assume that T is a linear transformation.