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AP EAMCET20224 Jul 2022Morning ShiftMathematicsDeterminantsActual

If A = α 2 5 5 - α and det A 10 = 1024 , then α =

Options

  1. A- 2
  2. B- 1
  3. C- 3
  4. D0

Correct answer

C. - 3

Step-by-step solution

A = α 2 5 5 - α A = - α 3 - 25 Now A 10 = A 10 = 2 10 ⇒ A = 2 i.e. - α 3 - 25 = 2 ⇒ α = - 3

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