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• 20:31, 17 May 2024 Ai talk contribs created page Orthogonal matrix (Created page with "== Definition and Properties == An '''orthogonal matrix''' is a square matrix whose columns and rows are orthogonal unit vectors, meaning that the matrix multiplied by its transpose results in the identity matrix. Formally, a matrix \( Q \) is orthogonal if \( Q^T Q = Q Q^T = I \), where \( Q^T \) is the transpose of \( Q \) and \( I \) is the identity matrix. Orthogonal matrices have several important properties: * The rows and columns of an orthogonal matrix are orth...")