Examples of 'diagonal matrix' in a sentence
Meaning of "diagonal matrix"
In mathematics, a diagonal matrix is a square matrix where all elements outside the main diagonal are zero. The main diagonal consists of the elements from the top left to the bottom right of the matrix. Diagonal matrices are often studied in linear algebra and have various applications in areas like physics, engineering, and computer science
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- A matrix in which the entries outside the main diagonal are all zero.
How to use "diagonal matrix" in a sentence
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diagonal matrix
The adjugate of a diagonal matrix is again diagonal.
An easy case for exponentiation is that of a diagonal matrix.
Make diagonal matrix from a vector.
This matrix may also be a block diagonal matrix.
Any square diagonal matrix is also a symmetric matrix.
The second weight matrix may be a diagonal matrix.
M is a diagonal matrix of the nodal masses.
Notice that a matrix is diagonalizable if and only if it is similar to a diagonal matrix.
A is the diagonal matrix of the eigenvalues.
Then there exists an orthogonal matrix and a diagonal matrix such that.
D is an n x n diagonal matrix to adjust scale factors.
The spectral theorem says that every normal matrix is unitarily equivalent to some diagonal matrix.
The eigenvalues of a diagonal matrix are the diagonal elements themselves.
Any square matrix can trivially be considered a block diagonal matrix with only one block.
Any diagonal matrix is symmetrical.
See also
Rectangular diagonal matrix.
A diagonal matrix is invertible if and only if its eigenvalues are nonzero.
Where δ m is a diagonal matrix of elements a mi.
A diagonal matrix is positive semidefinite if and only if all of its elements are nonnegative.
Example of diagonal matrix.
Is a diagonal matrix so as to provide the convergence properties of the method.
Where and are orthogonal and is a diagonal matrix containing the singular values.
Such a diagonal matrix may carry antenna calibration elements.
Diagonalization is the process of finding a corresponding diagonal matrix for a diagonalizable matrix or linear map.
D s the diagonal matrix of the eigenvalues of the source space.
EPMATHMARKEREP lono is a block diagonal matrix with diagonal elements.
W s is a diagonal matrix of weights associated with each shape parameter in the vector b s.
The signal gain factor and the attenuation can be combined into a diagonal matrix A.
A is a diagonal matrix by blocks.
The simplest choice for the covariance matrix for the measurement noise Rk is a diagonal matrix.
Block diagonal matrix.
Suppose that C is a composition algebra over a field F and a is a diagonal matrix in GLnF.
A scalar matrix is a diagonal matrix which is a constant times the identity matrix.
With U the matrix of the orthonormal eigenvectors and D the diagonal matrix of the eigenvalues λ i.
The code block diagonal matrix is combined with the channel response block diagonal matrix.
Where is the matrix of eigenvectors and Λ is a diagonal matrix containing the Λi eigenvalues.
Is a block diagonal matrix with diagonal elements EPMATHMARKEREP per satellite.
Such a matrix A is said to be similar to the diagonal matrix Λ or diagonalizable.
Let D be a diagonal matrix whose entries dii are the degrees of the vertices.
Matrix B is a square diagonal matrix.
The diagonal matrix M contains the masses on the diagonal.
Show that T is a diagonal matrix.
Degree matrix - a diagonal matrix defining the degree of each vertex in a graph.
A basis C is orthogonal if and only if the matrix representation A is a diagonal matrix.
S is a diagonal matrix.
All off-diagonal elements are zero in a diagonal matrix.
Let D n be the diagonal matrix of the weights of the individuals.
And the stress - energy tensor is a diagonal matrix.
Let A be the diagonal matrix shown below.
Proposition . is diagonalizable if and only if it is similar to a diagonal matrix.
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