jordan form वाक्य
उदाहरण वाक्य
मोबाइल
- The Jordan form can be assumed to exist over a field extending the base field of the matrix, for instance over the splitting field of; this field extension does not change the matrix in any way.
- But the proof of this relies on a Jordan form ? which doesn't seem right . ( Yes, you can use determinant, but that's basically a weaker result . )-- talk ) 12 : 06, 8 August 2009 ( UTC)
- This can be shown via direct calculation in the Jordan form, since any Jordan block for is annihilated by where is the multiplicity of the root of, the sum of the sizes of the Jordan blocks for, and therefore no less than the size of the block in question.
- This particular canonical form has been named as the Weyr canonical form in a paper by Shapiro published in The American Mathematical Monthly in 1999 . Previously, this form has been variously called as " modified Jordan form ", " reordered Jordan form ", " second Jordan form ", and " H-form ".
- This particular canonical form has been named as the Weyr canonical form in a paper by Shapiro published in The American Mathematical Monthly in 1999 . Previously, this form has been variously called as " modified Jordan form ", " reordered Jordan form ", " second Jordan form ", and " H-form ".
- This particular canonical form has been named as the Weyr canonical form in a paper by Shapiro published in The American Mathematical Monthly in 1999 . Previously, this form has been variously called as " modified Jordan form ", " reordered Jordan form ", " second Jordan form ", and " H-form ".
- The rational canonical form is determined by the elementary divisors of " A "; these can be immediately read off from a matrix in Jordan form, but they can also be determined directly for any matrix by computing the Smith normal form, over the ring of polynomials, of the matrix ( with polynomial entries ) ( the same one whose determinant defines the characteristic polynomial ).
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