normal matrix वाक्य
उदाहरण वाक्य
मोबाइल
- The ket } } can be computed by normal matrix multiplication.
- A symmetric matrix is necessarily a normal matrix.
- The spectral theorem says that every normal matrix is unitarily equivalent to some diagonal matrix.
- A normal matrix is self-adjoint if and only if its spectrum is contained in.
- For example, the spectral theorem for normal matrices states every normal matrix is unitarily diagonalizable.
- In other words : A normal matrix is Hermitian if and only if all its eigenvalues are real.
- In the latter case, the Gelfand Naimark representation theorem is one avenue in the development of spectral theory for normal operators, and generalizes the notion of diagonalizing a normal matrix.
- This follows by combining the theorems that, over an algebraically closed field, commuting matrices are simultaneously triangularizable and a normal matrix is diagonalizable the added result is that these can both be done simultaneously.
- A Hermitian matrix ( or the special case of a real symmetric matrix ) or a unitary matrix is never defective; more generally, a normal matrix ( which includes Hermitian and unitary as special cases ) is never defective.
- In the special case that is a normal matrix, which by definition must be square, the positive semi-definite, the decomposition "'UDU "' " } } is also a singular value decomposition.
- It is clear that if " A " is a normal matrix, then " U " from its Schur decomposition must be a diagonal matrix and the column vectors of " Q " are the eigenvectors of " A ".
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