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Mathematics · JEE | MATRICES

हिन्दी

If \( A \) and \( B \) are two matrices such that both \( AB \) and \( BA \) are defined, are \( AB \) and \( BA \) necessarily equal?

  1. A
    Always yes
  2. B
    Only if they are zero matrices
  3. C
    Only if they are diagonal matrices
  4. D
    Not necessarily
View Answer & Solution

Correct answer · Option D

Not necessarily

Explanation

Even if both \( AB \) and \( BA \) are defined, matrix multiplication is non-commutative, so \( AB \) is not necessarily equal to \( BA \).
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