Linear Algebra and the C Language/a0bp

__NOTOC__ Orthogonal matrix: In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors.... Wikipedia: Orthogonal matrix The function The determinant of an orthonormal matrix is ​​equal to 1 or -1. det(Q) = 1 or -1 The inverse of an orthonormal matrix is ​​its transpose. QT = inv(Q) The product the two orthonormal matrices is orthonormal. Q1 * Q2 = Q3 To solve an orthonormal system you can multiply the transpose of A by b. In fact, you are simply calculating the dot product of the rows of the transpose of A by the column b, instead of solving a linear system. Solve: Qx =b Code study r_Q_mR(); orth_mR(); Gram-Schmidt algorithm