Results 181 to 190 of about 178,756 (227)
Some of the next articles are maybe not open access.
1998
Abstract Rather than giving the formal definition of eigenvalues and eigenvectors — the subject of this chapter, indeed of the rest of the book — straight away, we shall give a hypothetical example of their use to motivate their study.
Richard Kaye, Robert Wilson
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Abstract Rather than giving the formal definition of eigenvalues and eigenvectors — the subject of this chapter, indeed of the rest of the book — straight away, we shall give a hypothetical example of their use to motivate their study.
Richard Kaye, Robert Wilson
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1993
This chapter introduces and, to a limited extent, solves one of the classical problems associated with linear processes: their decomposition into well-behaved, independent component subprocesses. What is especially noteworthy and exciting about the material is that it uses all of the major concepts introduced so far, including the representation of ...
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This chapter introduces and, to a limited extent, solves one of the classical problems associated with linear processes: their decomposition into well-behaved, independent component subprocesses. What is especially noteworthy and exciting about the material is that it uses all of the major concepts introduced so far, including the representation of ...
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1995
We are still in the midst of considering the following problem: given a vector space V finitely generated over a field F and given an endomorphism α of V, we want to find a basis for V relative to which α can be represented in a “nice” manner. In Chapter 10 we saw that if V has a basis composed of eigenvectors of α then, relative to that basis, α is ...
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We are still in the midst of considering the following problem: given a vector space V finitely generated over a field F and given an endomorphism α of V, we want to find a basis for V relative to which α can be represented in a “nice” manner. In Chapter 10 we saw that if V has a basis composed of eigenvectors of α then, relative to that basis, α is ...
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2011
Let \(\mathcal{L}\) be a linear space, \({\mathcal{L}}_{1}\) be a linear subspace of \(\mathcal{L}\) and A be a linear operator in \(\mathcal{L}\). In general, for any vector \(\mathbf{x} \in {\mathcal{L}}_{1}\), A x may not belong to \({\mathcal{L}}_{1}\).
Fuad Aleskerov +2 more
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Let \(\mathcal{L}\) be a linear space, \({\mathcal{L}}_{1}\) be a linear subspace of \(\mathcal{L}\) and A be a linear operator in \(\mathcal{L}\). In general, for any vector \(\mathbf{x} \in {\mathcal{L}}_{1}\), A x may not belong to \({\mathcal{L}}_{1}\).
Fuad Aleskerov +2 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
1996
Let a ∈ and a ≠0. Prove that the eigenvectors of the matrix $$ \left( {\begin{array}{*{20}c} 1 & a \\ 0 & 1 \\ \end{array} } \right) $$ generate a 1-dimensional space, and give a basis for this space.
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Let a ∈ and a ≠0. Prove that the eigenvectors of the matrix $$ \left( {\begin{array}{*{20}c} 1 & a \\ 0 & 1 \\ \end{array} } \right) $$ generate a 1-dimensional space, and give a basis for this space.
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