If A = [y z x; z x y; x y z] where x, y, z are integers, is an orthogonal matrix, then what is the value of x² + y² + z²?
A.0
B.1✓ Correct
C.4
D.14
Explanation
For an orthogonal matrix, each row is a unit vector: x² + y² + z² = 1. Since x, y, z are integers and their squares sum to 1, one is ±1 and others are 0. Hence x² + y² + z² = 1.
💡 Practice unlimited NDA PYQs + AI-tracked progress on each topic. Sign up free →