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📐 Mathematics  ·  Matrices  ·  JEE

A square matrix A for which Aᵏ = 0 for some positive integer k is called:

Answer: nilpotent.

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

Correct answer: A. nilpotent

Explanation: A matrix whose some power is the zero matrix is nilpotent.

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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