(a) The vector 7= (4) is rotated through an angle of 45° about the origin O(0, 0). Use the appropriate transformation matrix to calculate the result of this transformation. (b) The point (2, 3) is reflected over the straight line y = 3x. Use the appropriate transformation matrix to calculate where the point is reflected to. (c) The point (4, —2) is reflected over the y-axis. Use the appropriate transformation matrix to calculate where the point is reflected to.
(a) The vector 7= (4) is rotated through an angle of 45° about the origin O(0, 0). Use the appropriate transformation matrix to calculate the result of this transformation. (b) The point (2, 3) is reflected over the straight line y = 3x. Use the appropriate transformation matrix to calculate where the point is reflected to. (c) The point (4, —2) is reflected over the y-axis. Use the appropriate transformation matrix to calculate where the point is reflected to.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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is rotated through an angle of 45° about the origin O(0, 0). Use the
(a) The vector 7=
appropriate transformation matrix to calculate the result of this transformation.
(b) The point (2, 3) is reflected over the straight line y = 3x. Use the appropriate transformation
matrix to calculate where the point is reflected to.
(c) The point (4, -2) is reflected over the y-axis. Use the appropriate transformation matrix to
calculate where the point is reflected to.
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