The total number of matrices A = beginbmatrix 0 & 2y & 1 \… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 9 Apr · Shift II

The total number of matrices

A = \begin{bmatrix} 0 & 2y & 1 \\ 2x & y & -1 \\ 2x & -y & 1 \end{bmatrix}

(x, y \in R, x \neq y)

for which

A^T A = 3I_3

Show answer

Correct option: B

[JEE Main 2019 · 9 Apr · Shift II]

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JEE Main 2019 Mathematics question on Matrices and Determinants