Let M and N be two 3\times3 matrices such that MN=NM,Further,if M\neqN^2 and M^2=N^4,then [JEE Adv 2014 P1]

there is a 3\times3 non-zero matrix U such that(M^2+MN^2)U is the zero matrix

for a 3\times3 matrix U,if (M^2+MN^2) U equals the zero matrix then U is the zero matrix

JEE Advanced 2014 Paper 1

Section: Mathematics

Question : 48 of 60

Marks: +1, -0

Let M and N be two 3×3 matrices such that MN=NM,Further,if M≠N2 and M2=N4,then

[JEE Adv 2014 P1]

determinant of (M2+MN2) is 0
there is a 3×3 non-zero matrix U such that(M2+MN2)U is the zero matrix
determinant of (M2+MN2)≥1
for a 3×3 matrix U,if (M2+MN2) U equals the zero matrix then U is the zero matrix

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