Faster access than browser!Similarities between Normal matrix and Orthogonal matrix
Normal matrix and Orthogonal matrix have 14 things in common (in Unionpedia): Complex number, Diagonal matrix, Diagonalizable matrix, Eigenvalues and eigenvectors, Invertible matrix, Matrix norm, Orthogonality, Orthonormal basis, Polar decomposition, Skew-symmetric matrix, Spectral theorem, Square matrix, Symmetric matrix, Unitary matrix.
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
Complex number and Normal matrix · Complex number and Orthogonal matrix ·
Diagonal matrix
In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero.
Diagonal matrix and Normal matrix · Diagonal matrix and Orthogonal matrix ·
Diagonalizable matrix
In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P−1AP is a diagonal matrix.
Diagonalizable matrix and Normal matrix · Diagonalizable matrix and Orthogonal matrix ·
Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
Eigenvalues and eigenvectors and Normal matrix · Eigenvalues and eigenvectors and Orthogonal matrix ·
Invertible matrix
In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular or nondegenerate) if there exists an n-by-n square matrix B such that where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
Invertible matrix and Normal matrix · Invertible matrix and Orthogonal matrix ·
Matrix norm
In mathematics, a matrix norm is a vector norm in a vector space whose elements (vectors) are matrices (of given dimensions).
Matrix norm and Normal matrix · Matrix norm and Orthogonal matrix ·
Orthogonality
In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms.
Normal matrix and Orthogonality · Orthogonal matrix and Orthogonality ·
Orthonormal basis
In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other.
Normal matrix and Orthonormal basis · Orthogonal matrix and Orthonormal basis ·
Polar decomposition
In mathematics, particularly in linear algebra and functional analysis, the polar decomposition of a matrix or linear operator is a factorization analogous to the polar form of a nonzero complex number z as z.
Normal matrix and Polar decomposition · Orthogonal matrix and Polar decomposition ·
Skew-symmetric matrix
In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative; that is, it satisfies the condition In terms of the entries of the matrix, if aij denotes the entry in the and; i.e.,, then the skew-symmetric condition is For example, the following matrix is skew-symmetric: 0 & 2 & -1 \\ -2 & 0 & -4 \\ 1 & 4 & 0\end.
Normal matrix and Skew-symmetric matrix · Orthogonal matrix and Skew-symmetric matrix ·
Spectral theorem
In mathematics, particularly linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix in some basis).
Normal matrix and Spectral theorem · Orthogonal matrix and Spectral theorem ·
Square matrix
In mathematics, a square matrix is a matrix with the same number of rows and columns.
Normal matrix and Square matrix · Orthogonal matrix and Square matrix ·
Symmetric matrix
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose.
Normal matrix and Symmetric matrix · Orthogonal matrix and Symmetric matrix ·
Unitary matrix
In mathematics, a complex square matrix is unitary if its conjugate transpose is also its inverse—that is, if where is the identity matrix.
Normal matrix and Unitary matrix · Orthogonal matrix and Unitary matrix ·
The list above answers the following questions
- What Normal matrix and Orthogonal matrix have in common
- What are the similarities between Normal matrix and Orthogonal matrix
Normal matrix and Orthogonal matrix Comparison
Normal matrix has 39 relations, while Orthogonal matrix has 105. As they have in common 14, the Jaccard index is 9.72% = 14 / (39 + 105).
References
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