Prove that the product of the matrices is the null matrix when α and ß differ by an odd multiple of π/2 NO LINKS PLEASE Share with your friends Share 20 Neha Sethi answered this Dear student We havecos2αcosαsinαcosαsinαsin2αcos2βcosβsinβcosβsinβsin2β=cos2αcos2β+cosαsinαcosβsinβcos2αcosβsinβ+cosαsinαsin2βcosαsinαcos2β+sin2αcosβsinβcosαsinαcosβsinβ+sin2αsin2β=cosαcosβcosα-βcosαsinβcosα-βsinαcosβcosα-βsinαsinβcosα-β=0000 as α-β=2n+1π2,n∈Z and cosα-β=cos2n+1π2=0 Regards 51 View Full Answer
is the null matrix when α and ß differ by an odd multiple of π/2