Compute the indicated products:
(i) `[(a,b),(-b,a)][(a,-b),(b,a)]`
(ii) `[(1),(2),(3)][(2,3,4)]`
(iii) `[(1,-2),(2,3)][(1,2,3),(2,3,1)]`
(iv) `[(2,3,4),(3,4,5),(4,5,6)][(1,-3,5),(0,2,4),(3,0,5)]`
(v) `[(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)]`
(vi) `[(3,-1,3),(-1,0,2)][(2,-3),(1,0),(3,1)]`

Answer

`(i) [(a^(2)+b^(2),0),(0,a^(2)+b^(2))] (ii)[(2,3,4),(4,6,8),(6,9,12)] (iii)[(-3,-4,1),(8,13,9)]`
`(iv)[(14,0,42),(18,-1,56),(22,-2,70)] (v)[(1,2,3),(1,4,5),(-2,2,0)] (vi) [(14,-6),(4,5)]`