Similarities between Square matrix and Triangular matrix
Square matrix and Triangular matrix have 15 things in common (in Unionpedia): Characteristic polynomial, Determinant, Diagonal matrix, Eigenvalues and eigenvectors, Identity matrix, If and only if, Invertible matrix, Main diagonal, Mathematics, Matrix (mathematics), Minor (linear algebra), Normal matrix, Transpose, Triangular matrix, Unitary matrix.
Characteristic polynomial
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots.
Characteristic polynomial and Square matrix · Characteristic polynomial and Triangular matrix ·
Determinant
In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.
Determinant and Square matrix · Determinant and Triangular 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 Square matrix · Diagonal matrix and Triangular 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 Square matrix · Eigenvalues and eigenvectors and Triangular matrix ·
Identity matrix
In linear algebra, the identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere.
Identity matrix and Square matrix · Identity matrix and Triangular matrix ·
If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
If and only if and Square matrix · If and only if and Triangular 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 Square matrix · Invertible matrix and Triangular matrix ·
Main diagonal
In linear algebra, the main diagonal (sometimes principal diagonal, primary diagonal, leading diagonal, or major diagonal) of a matrix A is the collection of entries A_ where i.
Main diagonal and Square matrix · Main diagonal and Triangular matrix ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Mathematics and Square matrix · Mathematics and Triangular matrix ·
Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
Matrix (mathematics) and Square matrix · Matrix (mathematics) and Triangular matrix ·
Minor (linear algebra)
In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows or columns.
Minor (linear algebra) and Square matrix · Minor (linear algebra) and Triangular matrix ·
Normal matrix
In mathematics, a complex square matrix is normal if where is the conjugate transpose of.
Normal matrix and Square matrix · Normal matrix and Triangular matrix ·
Transpose
In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal, that is it switches the row and column indices of the matrix by producing another matrix denoted as AT (also written A′, Atr, tA or At).
Square matrix and Transpose · Transpose and Triangular matrix ·
Triangular matrix
In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix.
Square matrix and Triangular matrix · Triangular matrix and Triangular 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.
Square matrix and Unitary matrix · Triangular matrix and Unitary matrix ·
The list above answers the following questions
- What Square matrix and Triangular matrix have in common
- What are the similarities between Square matrix and Triangular matrix
Square matrix and Triangular matrix Comparison
Square matrix has 55 relations, while Triangular matrix has 64. As they have in common 15, the Jaccard index is 12.61% = 15 / (55 + 64).
References
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