Sentences with DIAGONALISATION
Check out our example sentences below to help you understand the context.Sentences
1
"The process of diagonalisation involves finding a diagonal matrix that is similar to a given matrix."
2
"The theorem of diagonalisation states that every matrix with distinct eigenvalues is diagonalisable."
3
"The diagonalisation of a matrix allows for easier computation of its powers."
4
"To perform diagonalisation, we need to find the eigenvectors of the matrix."
5
"The proof of diagonalisation relies on the existence of eigenvalues and eigenvectors."
6
"The process of diagonalisation can be generalized to complex matrices as well."
7
"The diagonalisation of a symmetric matrix results in a diagonal matrix with real eigenvalues."
8
"The diagonalisation of a Hermitian matrix results in a diagonal matrix with real eigenvalues."
9
"The process of diagonalisation often simplifies matrix operations, such as computing determinants."
10
"The diagonalisation process can be extended to diagonalise a set of matrices simultaneously."
11
"The concept of diagonalisation is fundamental in the theory of linear transformations."
1
"The process of diagonalisation allows us to transform a matrix into a diagonal form."
2
"The theorem of diagonalisation states that a matrix is diagonalizable if and only if it has n linearly independent eigenvectors."
3
"One application of diagonalisation is in solving systems of linear differential equations."
4
"The complexity of diagonalisation algorithms depends on the size and properties of the matrix."
5
"A key step in diagonalisation involves finding a basis of eigenvectors for a given matrix."
6
"The quality of a diagonalisation can be measured using the condition number of the resulting matrix."
7
"Many problems in physics and engineering can be effectively tackled by diagonalisation techniques."
