IIT JEE Advanced 2012 Paper 2

Section: Mathematics

Question : 45 of 60

Marks: +1, -0

If P is a 3 × 3 matrix such that PT = 2P + I, where PT is the transpose of P and I is the 3 × 3 identity matrix, then there exists a column matrix X = [

] ≠ [

] such that

[JEE Adv 2012 P2]

PX = [
0
0
0
]
PX = X
PX = 2X
PX = - X

Validate

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