Consider a matrix P whose only eigenvectors are the multiples of .Consider the following statements.(I) P does not have an inverse(II) P has a repeated eigenvalue(III) P cannot be diagonalizedWhich 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

Consider a matrix P whose only eigenvectors are the multiples of .Cons

1.	Consider a matrix P whose only eigenvectors are the multiples of .Consider the following statements.(I) P does not have an inverse(II) P has a repeated eigenvalue(III) P cannot be diagonalizedWhich 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
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