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📐 Mathematics  ·  Matrices  ·  JEE

The transpose of a product, (AB)ᵀ, equals:

Answer: BᵀAᵀ.

  • A BᵀAᵀ
  • B AᵀBᵀ
  • C AB
  • D BA

Correct answer: A. BᵀAᵀ

Explanation: The transpose of a product reverses the order: (AB)ᵀ = BᵀAᵀ.

Matrix A (3 rows x 3 columns)a11a12a13a21a22a23a31a32a33column 1column 2column 3row 1row 2row 3

Element aij of matrix A sits at the intersection of row i and column j.

Concept context

Matrix operations, determinants, inverses, and solving linear systems

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