Let A and B be non–singular square matrices of the same order. Consider the following statements.
I. (AB)T = ATBT
II. (AB)-1 =B-1A-1
III. adj(AB) = (adj.1)(adj.2)
IV. ρ(A2)= ρ(1) ρ(2)
V. |AB| = |A|.|B|
Which of the above statements are false?1
I, III & IV
2
IV & V
3
I & II
4
All of these