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KCET2022MathematicsMatrices

If A is a skew symmetric matrix, then A²⁰²¹ is

Options

  1. ARow matrix
  2. BColumn matrix
  3. CSymmetric matrix
  4. DSkew symmetric matrix

Correct answer

D. Skew symmetric matrix

Step-by-step solution

Given, A^T=-A Let aligned P & =A²⁰²¹ P^T & = [A²⁰²¹ ]^T= [A^T ]²⁰²¹ & =[-A]²⁰²¹=-[A]²⁰²¹=-P aligned Hence, A²⁰²¹ is also a skew symmetric matrix.

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