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📐 Mathematics  ·  Matrices  ·  JEE

For any matrix A, (A<sup>T</sup>)<sup>T</sup> equals:

Answer: A.

  • A 0
  • B I
  • C A
  • D -A

Correct answer: C. A

Explanation: Transposing twice returns the original matrix: (A<sup>T</sup>)<sup>T</sup> = A. Transpose is its own inverse.

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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