Validity of “no of genereralized eigen vectors = algebraic multiplicity” in the domain of real numbers
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Suppose a matrix has no'of real eigen values less than its order $n$. Then are the following identities valid in the domain of real numbers?
- no'of genereralized eigen vectors $=$ algebraic multiplicity
- Algebraic multiplicity $geq$ geometric multiplicity
linear-algebra
asked Dec 2 at 4:03
Akhil
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Suppose a matrix has no'of real eigen values less than its order $n$. Then are the following identities valid in the domain of real numbers?
- no'of genereralized eigen vectors $=$ algebraic multiplicity
- Algebraic multiplicity $geq$ geometric multiplicity
linear-algebra
asked Dec 2 at 4:03
Akhil
64
New contributor
Akhil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Suppose a matrix has no'of real eigen values less than its order $n$. Then are the following identities valid in the domain of real numbers?
- no'of genereralized eigen vectors $=$ algebraic multiplicity
- Algebraic multiplicity $geq$ geometric multiplicity
linear-algebra
asked Dec 2 at 4:03
Akhil
64
New contributor
Akhil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Suppose a matrix has no'of real eigen values less than its order $n$. Then are the following identities valid in the domain of real numbers?
- no'of genereralized eigen vectors $=$ algebraic multiplicity
- Algebraic multiplicity $geq$ geometric multiplicity
linear-algebra
linear-algebra
asked Dec 2 at 4:03
Akhil
64
New contributor
Akhil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Dec 2 at 4:03
Akhil
64
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Akhil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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edited Dec 2 at 4:28
asked Dec 2 at 4:03
Akhil
64
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asked Dec 2 at 4:03
Akhil
64
asked Dec 2 at 4:03
Akhil
64
64
New contributor
Akhil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Akhil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Akhil is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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Akhil is a new contributor. Be nice, and check out our Code of Conduct.
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