Show that : [(5,-1),(6,7)][(2,1),(3,4)] ≠ [(2,1),(3,4)][(5,-1),(6,7

1.	Show that : [(5,-1),(6,7)][(2,1),(3,4)] ≠ [(2,1),(3,4)][(5,-1),(6,7)].
Answer» [(5,-1),(6,7)][(2,1),(3,4)] = [(10 - 3,5 - 4),(12 + 21,6 + 28)] = [(7,1),(33,34)] ...(i) and [(2,1),(3,4)][(5,-1),(6,7)] = [(10 + 6,-2 + 7),(15 + 24,-3 + 28)] = [(16,5),(39,25)] ...(ii) From (i) and (ii), we get [(5,-1),(6,7)][(2,1),(3,4)] ≠ [(2,1),(3,4)][(5,-1),(6,7)]

Show that : [(5,-1),(6,7)][(2,1),(3,4)] ≠ [(2,1),(3,4)][(5,-1),(6,7)].

Answer»

[(5,-1),(6,7)][(2,1),(3,4)] = [(10 - 3,5 - 4),(12 + 21,6 + 28)] = [(7,1),(33,34)] ...(i)

and

[(2,1),(3,4)][(5,-1),(6,7)] = [(10 + 6,-2 + 7),(15 + 24,-3 + 28)] = [(16,5),(39,25)] ...(ii)

From (i) and (ii), we get

[(5,-1),(6,7)][(2,1),(3,4)] ≠ [(2,1),(3,4)][(5,-1),(6,7)]