The characteristic equation of a (3 3) matrix P is defined...

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The characteristic equation of a (3 × 3) matrix P is defined as
a(λ) = |P - λ$$I$$| = λ³ + λ² + 2λ + 1 = 0
If $$I$$ denotes identity matrix, then the inverse of matrix P will be

A. (P² + P + 2$$I$$)

B. (P² + P + 1)

C. - (P² + P + 1)

D. - (P² + P+ 2$$I$$)

Answer: Option D

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