Question
Show that an orthogonal matrix that is upper triangular must be diagonal.
Step 1
Since $Q$ is orthogonal, we know that $Q^TQ = I$, where $I$ is the identity matrix and $Q^T$ is the transpose of $Q$. Show more…
Show all steps
Your feedback will help us improve your experience
Victor Salazar and 54 other educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Prove that if an upper triangular matrix is orthogonal, then it must be a diagonal matrix.
Show that if an orthogonal (unitary) matrix is triangular, then it is diagonal.
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD