algebraic multiplicity in a sentence
1) Note that each eigenvalue is raised to the power "ni", the algebraic multiplicity .
algebraic collocations
2) The integer "n""i" is termed the algebraic multiplicity of eigenvalue λ"i".
3) So the algebraic multiplicity is the multiplicity of the eigenvalue as a zero of the characteristic polynomial.
algebraic multiplicity example sentences
4) This shows that the eigenvalues are 1, 2, 4 and 4, according to algebraic multiplicity .5) The " algebraic multiplicity " of each eigenvalue is 2; in other words they are both double roots.
6) The sum of the sizes of all Jordan blocks corresponding to an eigenvalue λ"i" is its algebraic multiplicity .
7) The " algebraic multiplicity " of an eigenvalue is the count of the number of times it occurs on the diagonal.
8) Since any eigenvector is also a generalized eigenvector, the geometric multiplicity is less than or equal to the algebraic multiplicity .
9) Moreover, since the characteristic polynomial of the inverse is the reciprocal polynomial for that of the original, they share the same algebraic multiplicity .
10) Hence, the total algebraic multiplicity of A, denoted __FORMULA__, is 4, which is the most it could be for a 4 by 4 matrix.
11) When λ is an eigenvalue of A, in the statement above, k will not exceed the algebraic multiplicity of λ, and can be less.
12) In particular, suppose that an eigenvalue "λ" of a matrix "A" has an algebraic multiplicity "m" but fewer corresponding eigenvectors.
13) The diagonal entries of the normal form are the eigenvalues of the operator, with the number of times each one occurs being given by its algebraic multiplicity .
14) In the finite-dimensional case, ν(λ) ≤ the algebraic multiplicity of λ.
15) Consider a matrix A, with an "eigenvalue" λ of " algebraic multiplicity " , such that there are not k "linearly independent eigenvectors" associated with λ.
example sentences with algebraic multiplicity
16) In such cases, a generalized eigenvector of "A" is a nonzero vector v, which is associated with λ having algebraic multiplicity , satisfyingThese examples have been automatically selected and may contain sensitive content that does not reflect the opinions or policies of our website. Please inform us about the inappropriate sentences:nalcakar at gmail.com
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