If a singular matrix A=[a_{i j}]_{2 \times 2} always commute with B=[\table 1 , 1 ; 2 , 1] such that {a_{11}}/{a_{12}}=\sqrt{k}, then k is equal to _________

JEE Advanced 2020 Full Test 7 Paper 2

Question : 51 of 54

Marks: +1, -0

If a singular matrix A=[aij]2×2 always commute with B=[

1	1
2	1

] such that ‌

a11

a12

=√k, then k is equal to _________

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a11	a12
a21	a22

a11	a12
a21	a22