Question: 1. Show using the preimage theorem that the tangent space to the Stiefel manifold of orthonormal 2-frames in R at a point [v1, v2], is

1. Show using the preimage theorem that the tangent space to the Stiefel manifold of orthonormal 2-frames in R" at a point [v1, v2], is the vector space of vectors (u, w) E R" x R" satisfying V1 . u = 0 V2 . W = 0 V1 . W + v2 . u = 0

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