If {A}=[\table 3 , 4 ; 5 , 6] and {B}=[\table x , 0 ; 0 , y], {x}, {y} \in {N}, then

Correct Answer is : There exist infinite number of matrices B such that AB=BA

There is exactly one such matrix B such that A B=I

There is no matrix {B} such that {AB}= {BA}

There exist only a finite number of matrices {B} such that {AB}= {BA}

There exist infinite number of matrices {B} such that {AB}= {BA}

AP EAPCET 06-Jul-2022 Shift 1 Paper

Section: Mathematics

Question : 3 of 160

Marks: +1, -0

If A=[

3	4
5	6

] and B=[

x	0
0	y

],x,y∈N, then

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3x	4y
5x	6y

3x	4x
5y	6y