Consider a matrix P whose only eigenvectors are the multiple

Please wait...
THANKU FOR BEING A PART OF OUR JOURNEY TO BRING "REVOLUTION IN EDUCATION"
We Genuinely APPRECIATE your PATIENCE

SKINS
ADS

Red
Pink
Purple
Deep Purple
Indigo
Blue
Light Blue
Cyan
Teal
Green
Light Green
Lime
Yellow
Amber
Orange
Deep Orange
Brown
Grey
Blue Grey
Black
White

Coming Soon

49

M: +2.00/-0.66

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 diagonalized.
Which one of the following options is correct?

[GATE CS 2018]

A Only I and II are necessarily true

B Only II is necessarily true

C Only I and III are necessarily true

D Only II and III are necessarily true