Let P be the rotation matrix with pa = p/; = cos(9 and pij = pji = sinf9, for j < i
Chapter 9, Problem 12(choose chapter or problem)
Let P be the rotation matrix with pa = p/; = cos(9 and pij = pji = sinf9, for j < i. Show that for any n x n matrix A, (APU = (PA)pq = >pq, (cos 9 )apj + (sm9)aph {cos9)api - (sme)apj, l pi' (cos9)ajq (sin0)r/,'9, (sind)ajq + (cos 0)0, "f 9 # 7. if q = h \iq = i. if P ^ ' 7. if P = j, \f p i.
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