Proof: Orthogonal Matrices Satisfy A^TA=I

One way to characterize orthogonal matrices is to say that a matrix orthogonal if and only if A transpose times A is the identity matrix. In this video, we prove this result using basic matrix calculations and the definition of orthonormal vectors. Learning Linear Algebra playlist: /playlist/PLug5ZIRrShJHNCfEiX6l5CKbljWayGEcs Subscribe to see more new math videos! Music: C418 - Pr Department

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