MAE101_-_Test3_-_SU_2024_2213.webp

Kizspy | Question: 37
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)

Let T:\mathbb{R}^{2}\rightarrow\mathbb{R}^{2} be rotation about the origin through followed by projection on x-axis.\frac{\pi}{3}
Find the sum of the (1,1)-entry and (2,2)-entry of the matrix of T.
(i) -1/2
(ii) 1/2
(iii) \frac{1-\sqrt{3}}{2}
(iv) \frac{1+\sqrt{3}}{2}