GATE XE (Engineering Sciences) 2023 - Question 11

All GATE XE (Engineering Sciences) papers | GATE XE (Engineering Sciences) 2023

Section: Engineering Mathematics | Marks: 1

Let 𝐴 be a 3 × 3 real matrix having eigenvalues 1, 2, and 3. If 𝐵= 𝐴2 + 2𝐴+ 𝐼, where 𝐼 is the 3 × 3 identity matrix, then the eigenvalues of 𝐵 are

  • A. 4, 9, 16
  • B. 1, 2, 3
  • C. 1, 4, 9
  • D. 4, 16, 25

Answer: A. 4, 9, 16

| | All questions of GATE XE (Engineering Sciences) 2023