Write the 2 × 2 matrices that represent the following linear transformations ofthe plane. Also draw the image of the (first quadrant) unit square 1 under each transformation. (a) A reflection across the line at angle −300 to the X-axis. (b) The transformation T(x, y) = (2x + 6y, x + 3y).
Write the 2 × 2 matrices that represent the following linear transformations ofthe plane. Also draw the image of the (first quadrant) unit square 1 under each transformation. (a) A reflection across the line at angle −300 to the X-axis. (b) The transformation T(x, y) = (2x + 6y, x + 3y).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 12CM
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Write the 2 × 2 matrices that represent the following linear transformations ofthe plane. Also draw the image of the (first quadrant) unit square 1 under each transformation.
(a) A reflection across the line at angle −300 to the X-axis.
(b) The transformation T(x, y) = (2x + 6y, x + 3y).
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