Mixing
orthogonal complement of subspace
$begingroup$
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
953318
asked Jan 6 at 17:52
AbrarAbrar
12
$endgroup$
add a comment |
$begingroup$
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
953318
asked Jan 6 at 17:52
AbrarAbrar
12
$endgroup$
add a comment |
$begingroup$
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
953318
asked Jan 6 at 17:52
AbrarAbrar
12
$endgroup$
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
953318
asked Jan 6 at 17:52
AbrarAbrar
12
edited Jan 6 at 18:05
Sauhard Sharma
953318
asked Jan 6 at 17:52
AbrarAbrar
12
edited Jan 6 at 18:05
Sauhard Sharma
953318
edited Jan 6 at 18:05
Sauhard Sharma
953318
edited Jan 6 at 18:05
Sauhard Sharma
953318
953318
asked Jan 6 at 17:52
AbrarAbrar
12
asked Jan 6 at 17:52
AbrarAbrar
12
asked Jan 6 at 17:52
AbrarAbrar
12
12
add a comment |
add a comment |
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