Let A= bmatrix x+y&y 2x&x-y bmatrix , B= bmatrix 2 -1 bmatrix and C= bmatrix 3 2 bmatrix . If AB=C, then what is the value of the determinant of the matrix A?

NDA 2020 Mathematics question

Let , and . If , then what is the value of the determinant of the matrix A?

Answer: (B)

gives and , i.e. and . So $x

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Question ID VK-029180