Let {A} and {B} be two square matrices of order 3 given as A=[\table x , 0 , 0 ; 0 , x^{2} , 0 ; 0 , 0 , 1 \/ x^{3}] and B=[\table 3 , 2 , 3 ; 2 , 0 , 1 ; 3 , 1 , 1] then:

Minimum value of trace (A^{2} B) is 4 .

If C A^{2}=B, then minimum value of trace

is 4 (C) A B-B A is a singular matrix

det. (adj(A^{2015} B(A^{T})^{2015})) equals 25 .

JEE Advanced 2020 Concept Recapitulation Test 4 Paper 1

Question : 48 of 54

Marks: +1, -0

Let A and B be two square matrices of order 3 given as A=[

] and B=[

] then:

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