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Which of the following matrices can NOT be obtained from the matrix - 1 2 1 - 1 by a single elementary row operation?

Options

  1. A0 1 1 - 1
  2. B1 - 1 - 1 2
  3. C- 1 2 - 2 7
  4. D- 1 2 - 1 3

Correct answer

C. - 1 2 - 2 7

Step-by-step solution

Given A = - 1 2 1 - 1 (1) R 1 → R 1 + R 2 0 1 1 - 1 (2) R 1 ↔ R 2 1 - 1 - 1 2 (3) Option is not possible (4) R 2 → R 2 + 2 R 1 - 1 2 - 1 3

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