Question
Question: If A and B are square matrices of order 3, then-...
If A and B are square matrices of order 3, then-
A
adj (AB) = adj A + adj B
B
(A + B)–1 = A–1 + B–1
C
AB = O Ž | A | = 0 or | B | = 0
D
AB = O Ž | A | = 0 and | B | = 0
Answer
AB = O Ž | A | = 0 or | B | = 0
Explanation
Solution
If AB = O, then either of A and B are necessarily singular.