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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Matrices

NDA 2010 · Mathematics · Matrices

Consider the following statements: I. If A^ =A , then A is a...

Consider the following statements: I. If A′=A\mathrm{A}^{\prime}=\mathrm{A}, then A is a singular matrix, where A′\mathrm{A}^{\prime} is the transpose of A. II. If AA is a square matrix such that A3=IA^3=I, then AA is non-singular. Which of the statements given above is/are correct?

Options

  1. AI only
  2. BII only
  3. CBoth I and II
  4. DNeither I nor II

Correct answer

D. Neither I nor II

Step-by-step solution

The correct answer is option (D).
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