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📐 Mathematics  ·  Matrices  ·  JEE

The diagonal elements of a skew-symmetric matrix are all:

Answer: zero.

  • A zero
  • B one
  • C equal and positive
  • D negative

Correct answer: A. zero

Explanation: Since Aᵀ = −A, each diagonal element equals its own negative, so it must be zero.

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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