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📐 Mathematics  ·  Matrices  ·  JEE

A square matrix A satisfying A² = A is called:

Answer: idempotent.

  • A idempotent
  • B nilpotent
  • C orthogonal
  • D symmetric

Correct answer: A. idempotent

Explanation: A matrix equal to its own square is idempotent.

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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