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📐 Mathematics  ·  Matrices  ·  JEE

The product of a 2×3 matrix and a 3×2 matrix has order:

Answer: 2×2.

  • A 2×2
  • B 3×3
  • C 2×3
  • D 3×2

Correct answer: A. 2×2

Explanation: The product takes the rows of the first and columns of the second: 2×2.

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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