Q115
Consider a matrix P whose only eigenvectors are the multiples of \[ [ array*20c 1 \\ 4 array ].\] 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?
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?
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
AnswerAnswer: Option D
Solution
Answer: Option D
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