jordan canonical form sentence in Hindi
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- The Weyr form was discovered by the Jordan canonical form.
- By contrast, the existence of Jordan canonical form for a matrix is a deep theorem.
- To see why equality may not always hold, consider the Jordan canonical form of a matrix in the finite-dimensional case.
- For example, the spectral theory of compact operators on Banach spaces takes a form that is very similar to the Jordan canonical form of matrices.
- *PM : proof of Jordan canonical form theorem, id = 5709-- WP guess : proof of Jordan canonical form theorem-- Status:
- *PM : proof of Jordan canonical form theorem, id = 5709-- WP guess : proof of Jordan canonical form theorem-- Status:
- When comparing the two results, a rough analogy can be made with the relationship between the spectral theorem for normal matrices and the Jordan canonical form.
- Note the algorithm does not require that the matrix "'A "'be diagonalizable and bypasses complexities of the Jordan canonical forms normally utilized.
- However, when a matrix " N " is normal, its Jordan canonical form is diagonal ( up to unitary equivalence ); this is the spectral theorem.
- Specifically, applying the structure theorem for finitely generated modules over a principal ideal domain to this algebra yields as corollaries the various canonical forms of matrices, such as Jordan canonical form.
- When " V " is a finite dimensional vector space over an algebraically closed field, linear transformations acting on " V " are characterized ( up to similarity ) by the Jordan canonical form, which decomposes " V " into invariant subspaces of " T ".
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