QJEEM19Ma3a3d: JEE Main 2019 Mathematics - Class 12 JEEM19Ma3a3d Solution: Let A = ( 0 2 q r p q − r p − q r ) .…

Question

Verified Solution • 2025–26 Session moderate

Let A =

(\begin{matrix} 0 & 2 q & r \\ p & q & - r \\ p & - q & r \end{matrix}) .

If AA^T = I₃, then

| p |

is :

Accepted Answer

A is orthogonal matrix

\Rightarrow

0² + p² + p² = 1

\Rightarrow

| p | = \frac{1}{\sqrt{2}}

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