Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
7
7. Assume that T is a linear transformation. Find the standard matrix of T. (a) T: R² → R² rotates points about the origin through radians counter-clockwise. (b) T: R² R2 reflects points across the x-axis, then reflects across the line y = x. R³ projects onto the xz-plane. (c) T: R³ (d) T: R³ R2 defined by T(1, 2, 3) = (1 - 5x2 + 4x3, x2 - 6x3).
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Transcribed Image Text:7. Assume that T is a linear transformation. Find the standard matrix of T. (a) T: R² → R² rotates points about the origin through radians counter-clockwise. (b) T: R² R2 reflects points across the x-axis, then reflects across the line y = x. R³ projects onto the xz-plane. (c) T: R³ (d) T: R³ R2 defined by T(1, 2, 3) = (1 - 5x2 + 4x3, x2 - 6x3).
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