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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Matrices

NDA 2010 · Mathematics · Matrices

If a matrix A is such that 3 A^3+2 A^2+5 A+ I =0 Then what is A^ -1...

If a matrix AA is such that 3A3+2A2+5A+3 A^3+2 A^2+5 A+\mathrm{I}=0=0 Then what is A−1A^{-1} equal to?

Options

  1. A−(3A2+2A+5)- \left(3 A²+2 A+5\right)
  2. B3A2+2A+5I3 A^2+2 A+5 I
  3. C3A2−2A−5I3 A^2-2 A-5 I
  4. D−(3A2+2A+5I)- \left(3 A²+2 A+5 I\right)

Correct answer

D. −(3A2+2A+5I)- \left(3 A²+2 A+5 I\right)

Step-by-step solution

The correct answer is option (D).
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