invertible matrix वाक्य
उदाहरण वाक्य
मोबाइल
- Not all matrices have an inverse ( see invertible matrix ).
- Notice that the polar decomposition of an invertible matrix is unique.
- The case of a square invertible matrix also holds interest.
- See also Invertible matrix .-IMSoP 13 : 39, 19 Apr 2004 ( UTC)
- More generally, if is any invertible matrix, and is an eigenvalue of with generalized eigenvector, then.
- In addition to providing a computational tool, this formula demonstrates that a matrix exponential is always an invertible matrix.
- That is, there exists an invertible matrix M such that J = M ^ {-1 } AM.
- For some invertible matrix, the matrix of components of the metric changes by " A " as well.
- The corresponding article ( Invertible matrix # Applications ) has some uses of it, but often inverting can be avoided.
- One can write down the inverse of an invertible matrix by computing its cofactors by using Cramer's rule, as follows.
- :The articles on Determinant, Invertible matrix, Identity matrix, and Matrix multiplication look nice, and link to other stuff.
- If the Hessian is close to a non-invertible matrix, the inverted Hessian can be numerically unstable and the solution may diverge.
- *For any real invertible matrix A, the product A ^ { \ mathrm { T } } A is a positive definite matrix.
- In the case of a linear system which is underdetermined, or an otherwise non-invertible matrix, singular value decomposition ( SVD ) is equally useful.
- With the unusually large key is an invertible matrix used to encrypt the session keys, and the encrypted session keys must be sent along with the ciphertext.
- Can an invertible matrix Q be found such that both Q ^ {-1 } A Q and Q ^ {-1 } B Q are diagonal matrices?
- :I think the solution would involve showing that the matrix formation of the equation that gives you your best fit curves involves an invertible matrix, and from that has a unique solution.
- Then the first part of the algorithm computes an LU decomposition, while the second part writes the original matrix as the product of a uniquely determined invertible matrix and a uniquely determined reduced row echelon matrix.
- For example, Jordan normal form is a canonical form for matrix similarity, and the row echelon form is a canonical form, when one considers as equivalent a matrix and its left product by an invertible matrix.
- If a square, invertible matrix has an " LDU " factorization with all diagonal entries of " L " and " U " equal to 1, then the factorization is unique.
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