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Search results with tag "Orthogonal matrix"
Introduction to Matrix Algebra - Institute for Behavioral ...
ibgwww.colorado.eduOrthogonal Matrices: Only square matrices may be orthogonal matrices, although not all square matrices are orthogonal matrices. An orthogonal matrix satisfied the equation AAt = I Thus, the inverse of an orthogonal matrix is simply the transpose of that matrix. Orthogonal matrices are very important in factor analysis. Matrices of eigenvectors
Orthogonal Transformations - University of Michigan
www.math.lsa.umich.edu6. The transpose of an orthogonal matrix is orthogonal. 7. The product of two orthogonal matrices (of the same size) is orthogonal. 8. If Ais the matrix of an orthogonal transformation T, then AAT is the identity matrix. 9. If A 1 = AT, then Ais the matrix of an orthogonal transformation of Rn.