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IAT IISER2021MathematicsMatrices

Let A be a 2 2 matrix such that A^2+A+ ( array ll 0 & 1 1 & 0 array )= ( array ll 0 & 0 0 & 0 array ) Let I denote the 2 2 identity matrix. Which of the following statements is correct?

Options

  1. ABoth A and A+I are invertible.
  2. BA is invertible but A+I may not be invertible.
  3. CNeither A+I nor A may be invertible.
  4. DA+I is invertible but A may not be invertible.

Correct answer

A. Both A and A+I are invertible.

Step-by-step solution

No solution available.

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