Find the following, showing all working: (a) The matrix B that represents the linear transformation given by: first, a reflection over the line a = 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 3 and 3

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 17CM
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7.
Find the following, showing all working:
(a) The matrix B that represents the linear transformation given by: first, a reflection over the line x = 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
Transcribed Image Text:7. Find the following, showing all working: (a) The matrix B that represents the linear transformation given by: first, a reflection over the line x = 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
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