The matrix is said to be an orthogonal matrix if the product of a matrix and its transpose gives an identity Matrix.
Suppose A is a square matrix with real elements and of n x n order and A T is the transpose of A. Then according to the definition, if, A T = A -1 is satisfied, then
Where ‘I’ is the identity matrix, A -1 is the inverse of matrix A, and ‘n’ denotes the number of rows and columns.Example:
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