imo class 12 determinants

Let A = [1 2; 3 4]. Which of the following is true?

VAVidaara Admin Asked 6d ago 0 views 0 answers

Let A = [1 2; 3 4]. Which of the following is true?

  • A. A is a singular matrix
  • B. A⁻¹ does not exist
  • C. A² - 5A - 2I = O
  • D. |A| = -2

Answer: D) |A| = -2

Explanation: The determinant of A is (1)(4) - (2)(3) = 4 - 6 = -2. Since it is not 0, A is non-singular.

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