Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If matrix A is of order 2 × 3 and B of order 3 × 2, then

Options:

AB, BA both are defined and are equal

AB is defined but BA is not defined

AB is not defined but BA is defined

AB, BA are defined but are not equal

Correct Answer:

AB, BA are defined but are not equal

Explanation:
Matrix    Order
A 2 × 3
B 3 × 2

As, column (A) = row (B)

row (A) = column (B)

⇒ both are defined

⇒ AB, BA are defined but are not equal