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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 39E: For the linear transformation from Exercise 33, find a T(1,1), b the preimage of (1,1), and c the...
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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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