alleryIf $A$ and $B$ are matrices for which $AB$ is defined, then $(AB)'$ equals:
A$A'B'$
B$B'A'$
C$A'B$
D$AB'$
Answer & Solution
Correct answer: B. $B'A'$
For matrix transpose, the order reverses on products: $(AB)' = B'A'$.
This generalises to $(ABC)' = C'B'A'$ and to arbitrary products of compatible matrices.
It is a standard pitfall to write $(AB)' = A'B'$
the order *must* flip.
Keep practising Number Systems
Browse all Number Systems questions for CBSE Class 9, or explore more Mathematics topics.
Related questions
The set of rational numbers Q is CLOSED under all of the following operations EXCEPT:The set of INTEGERS is denoted by the symbol:How many rational numbers are there between any two distinct rationals?Compute (-3/5) × (10/9):Which of the following can be written as a rational p/q in lowest terms with q having ONLYThe difference between two positive integers is 63, and they are in the ratio 2:5. The smaSalil's mother is currently three times Salil's age. After 5 years, their ages will add upFind the value of the linear polynomial 5x − 3 at x = −1: