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📐 Mathematics  ·  Matrices  ·  JEE

The transpose of a matrix is obtained by interchanging its:

Answer: rows and columns.

  • A rows and columns
  • B plus and minus signs
  • C two diagonals
  • D elements at random

Correct answer: A. rows and columns

Explanation: The transpose Aᵀ swaps rows with columns.

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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