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📐 Mathematics  ·  Matrices  ·  JEE

For the product AB to be defined, the number of columns of A must equal the number of ___ of B:

Answer: rows.

  • A rows
  • B columns
  • C elements
  • D diagonals

Correct answer: A. rows

Explanation: Matrix multiplication AB needs columns of A to match rows of B.

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

Read the full Matrices notes →