In the Singular Value Decomposition A = UΣV^T, what type of matrices are U and V?
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Orthogonal matrices
U and V contain the left and right singular vectors of A, respectively. Because they are orthogonal, their columns form orthonormal bases for the four fundamental subspaces of the matrix, and their transposes are equal to their inverses.
Also asked as:
- In the SVD expression A = UΣV^T, what specific property is shared by the matrices U and V?