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📐 Mathematics  ·  Matrices  ·  JEE

The transpose of a matrix A is obtained by:

Answer: Interchanging rows and columns.

  • A Multiplying every element by -1
  • B Interchanging rows and columns
  • C Adding A to itself
  • D Squaring every element

Correct answer: B. Interchanging rows and columns

Explanation: The transpose A<sup>T</sup> is formed by converting the rows of A into columns (and columns into rows).

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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