Consider a matrix P whose only eigenvectors are the multiples of \[\left[ {\begin{array}{*{20}{c}}
1 \\
4
\end{array}} \right].\]
Consider the following statements:
I. P does not have an inverse.
II. P has a repeated eigen value.
III. P cannot be diagonalized.
Which one of the following options is correct?
A. Only I and III are necessarily true
B. Only II is necessarily true
C. Only I and II are necessarily true
D. Only II and III are necessarily true
Answer: Option D
This Question Belongs to Engineering Maths >> Linear Algebra
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