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GATE | GATE CS 2018 | Question 63
Consider a matrix P whose only eigenvectors are the multiples of [Tex]\\begin{bmatrix}
1\\\\
4
\\end{bmatrix}[/Tex].
Consider the following statements.
(I) P does not have an inverse
(II) P has a repeated eigenvalue
(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
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