Question

Question 5: For the Givens-Rotator Q the determinant. (8) ER"." (see page 194 of the text book) show that det(Q), 8)) 1 by expanding

Answer 1

Illici 5. Qij (0,89 ИХИ Cocoso, so sind. det (Qij (0,8)) = 11

- 1x1xl So..-5 1-1 Clio: 01 - 0 So.-... n- 101-01 Tool. O . 1+1 enem = c.cas. (-5) = c² + s2 = cos o + sin 0= 1. i + 1 odd, then, co-.. - S 110.01 101-..61 ac loi.ots oolol Too.. C 1 s - - ol - ch+ s. (5) = c² + 32 = cos²0 + sin²0 = 1.