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Find the following, showing all working: (a) The matrix B that represents the linear transformation given by: first, a reflection over the line r = y; then, a clockwise rotation by 30° centred at 0. -5 2 (b) For the matrices A = 3 4 and C = 2B find the multiplication AC. 9 (:) (c) The angle between and 3

Find the following, showing all working: (a) The matrix B that represents the linear transformation given by: first, a reflection over the line r = y; then, a clockwise rotation by 30° centred at 0. -5 2 (b) For the matrices A = 3 4 and C = 2B find the multiplication AC. 9 (:) (c) The angle between and 3

Advanced Engineering Mathematics
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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Find the following, showing all working: (a) The matrix B that represents the linear transformation given by: first, a reflection over the line r = y; then, a clockwise rotation by 30° centred at 0. -5 2 (b) For the matrices A = 3 and C = 2B find the multiplication AC. 9 (c) The angle between and 3
Transcribed Image Text:Find the following, showing all working: (a) The matrix B that represents the linear transformation given by: first, a reflection over the line r = y; then, a clockwise rotation by 30° centred at 0. -5 2 (b) For the matrices A = 3 and C = 2B find the multiplication AC. 9 (c) The angle between and 3
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