Normal Form Matrix. An orthogonal matrix is also a normal matrix. In particular, the integers are a pid, so one.
Smith normal form basis
An orthogonal matrix is also a normal matrix. In particular, the integers are a pid, so one. Web the smith normal form of a matrix is diagonal, and can be obtained from the original matrix by multiplying on the left and right by invertible square matrices. Web the spectral theorem states that a matrix is normal if and only if it is unitarily similar to a diagonal matrix, and therefore any matrix a satisfying the equation a*a = aa* is diagonalizable.
Web the spectral theorem states that a matrix is normal if and only if it is unitarily similar to a diagonal matrix, and therefore any matrix a satisfying the equation a*a = aa* is diagonalizable. An orthogonal matrix is also a normal matrix. Web the spectral theorem states that a matrix is normal if and only if it is unitarily similar to a diagonal matrix, and therefore any matrix a satisfying the equation a*a = aa* is diagonalizable. In particular, the integers are a pid, so one. Web the smith normal form of a matrix is diagonal, and can be obtained from the original matrix by multiplying on the left and right by invertible square matrices.
