Let A=[\table x+y,y;2x,x-y], B=[\table 2;-1] and C=[\table 3;2]. IfA B=C, then what is the value of the determinant of the matrix A ? [NDA-I 2020]

NDA Math Determinants

Question : 22 of 68

Marks: +1, -0

Let A=[

x+y	y
2x	x−y

], B=[

−1

] and C=[

]. IfAB=C, then what is the value of the determinant of the matrix A?

[NDA-I 2020]

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−1+5	5
−2	−1−5

4	5
−2	−6