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📐 Mathematics  ·  Matrices  ·  JEE

If A is a matrix of order 2 x 3, what is the order of A<sup>T</sup>?

Answer: 3 x 2.

  • A 3 x 2
  • B 2 x 3
  • C 3 x 3
  • D 2 x 2

Correct answer: A. 3 x 2

Explanation: Transposing swaps rows and columns. If A is 2 x 3, then A<sup>T</sup> is 3 x 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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