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Consider the following statements in respect of a square matrix A and its transpose A^T . 1. A+A^T is always symmetric. 2. A-A^T is always anti-symmetric. Which of the statements given above is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

C. Both 1 and 2

Step-by-step solution

The correct answer is option (C).

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