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Summary
- Orthogonal Matrix What is an Orthogonal Matrix?
- In terms of geometry, orthogonal means that two vectors are perpendicular to each other.
- Additionally you may select any two rows and find that the same property holds, as the transpose of an orthogonal matrix is itself an orthogonal matrix.
- Because the transpose preserves the determinant, it is easy to show that the determinant of an orthogonal matrix must be equal to 1 or -1.