imo class 12 matrices

If A is a 3×2 matrix and B is a 2×4 matrix, the order of the product AB is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A is a 3×2 matrix and B is a 2×4 matrix, the order of the product AB is:

  • A. 3×4
  • B. 2×2
  • C. 4×3
  • D. Product not defined

Answer: A) 3×4

Explanation: For matrix multiplication, if A is m×n and B is n×p, then AB is m×p. Here m=3, n=2, p=4, so AB has order 3×4. The product is defined because columns of A equal rows of B.

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