Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

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 area defined

⇒  AB, BA both area defined but are not equal