213. Find the entries of the following matrices: (a) the 2 x 2 matrix M for the reflection across the line y = x. (b) the 2 x 2 matrix N for the 90-degree counterclockwise rotation about the origin. (c) the product MN; what transformation does this represent? DID

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 29CR: Use the standard matrix for counterclockwise rotation in R2 to rotate the triangle with vertices...
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213. Find the entries of the following matrices:
(a) the 2 x 2 matrix M for the reflection across the line y = x.
(b)the 2 × 2 matrix N for the 90-degree counterclockwise rotation about the origin.
(c) the product MN; what transformation does this represent?
(d) the product NM; what transformation does this represent?
(e) the product MM; what transformation does this represent?
Transcribed Image Text:213. Find the entries of the following matrices: (a) the 2 x 2 matrix M for the reflection across the line y = x. (b)the 2 × 2 matrix N for the 90-degree counterclockwise rotation about the origin. (c) the product MN; what transformation does this represent? (d) the product NM; what transformation does this represent? (e) the product MM; what transformation does this represent?
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