StackedML
Practice
Labs
Questions
Models
Pricing
Sign in
Questions
/
Math Foundations
/
Linear Algebra
/
Matrix inversion intuition
← Previous
Next →
402.
Inverse of Orthogonal Matrix
medium
For an orthogonal matrix Q (where QᵀQ = I), what is the inverse Q⁻¹?
A
Q itself — orthogonal matrices are their own inverses since they represent pure reflections
B
Q² — the square of Q, since orthogonal matrices require two applications to return to identity
C
Qᵀ — the transpose of Q, since QᵀQ = I by definition of orthogonality
D
-Q — the negation of Q, since orthogonal matrices reverse direction under inversion
Sign in to verify your answer
← Back to Questions