orthogonal complement of subspace
I am not a mathematician but I faced the following problem when I want to apply some machine learning algorithm to solve nlp problem.
let say that I have a matrix $A$ that is $100X50$ and I project each row to a $5$ dimension subspace to produce the Matrix $A_5$ which is $100X5$, now how I can find the reminder $45$ dim subspace of $A$ (which is $100X45$ of $A$ ) that is orthogonal to $A_5$.
I would appreciate any help
vector-spaces orthogonality
edited Jan 6 at 18:05
Sauhard Sharma
813117
asked Jan 6 at 17:52
AbrarAbrar
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I am not a mathematician but I faced the following problem when I want to apply some machine learning algorithm to solve nlp problem.
let say that I have a matrix $A$ that is $100X50$ and I project each row to a $5$ dimension subspace to produce the Matrix $A_5$ which is $100X5$, now how I can find the reminder $45$ dim subspace of $A$ (which is $100X45$ of $A$ ) that is orthogonal to $A_5$.
I would appreciate any help
vector-spaces orthogonality
edited Jan 6 at 18:05
Sauhard Sharma
813117
asked Jan 6 at 17:52
AbrarAbrar
11
New contributor
Abrar 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 |
I am not a mathematician but I faced the following problem when I want to apply some machine learning algorithm to solve nlp problem.
let say that I have a matrix $A$ that is $100X50$ and I project each row to a $5$ dimension subspace to produce the Matrix $A_5$ which is $100X5$, now how I can find the reminder $45$ dim subspace of $A$ (which is $100X45$ of $A$ ) that is orthogonal to $A_5$.
I would appreciate any help
vector-spaces orthogonality
edited Jan 6 at 18:05
Sauhard Sharma
813117
asked Jan 6 at 17:52
AbrarAbrar
11
New contributor
Abrar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I am not a mathematician but I faced the following problem when I want to apply some machine learning algorithm to solve nlp problem.
let say that I have a matrix $A$ that is $100X50$ and I project each row to a $5$ dimension subspace to produce the Matrix $A_5$ which is $100X5$, now how I can find the reminder $45$ dim subspace of $A$ (which is $100X45$ of $A$ ) that is orthogonal to $A_5$.
I would appreciate any help
vector-spaces orthogonality
vector-spaces orthogonality
edited Jan 6 at 18:05
Sauhard Sharma
813117
asked Jan 6 at 17:52
AbrarAbrar
11
New contributor
Abrar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Jan 6 at 18:05
Sauhard Sharma
813117
asked Jan 6 at 17:52
AbrarAbrar
11
New contributor
Abrar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Jan 6 at 18:05
Sauhard Sharma
813117
edited Jan 6 at 18:05
Sauhard Sharma
813117
edited Jan 6 at 18:05
Sauhard Sharma
813117
813117
asked Jan 6 at 17:52
AbrarAbrar
11
New contributor
Abrar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Jan 6 at 17:52
AbrarAbrar
11
asked Jan 6 at 17:52
AbrarAbrar
11
11
New contributor
Abrar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Abrar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Abrar 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 |
add a comment |
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