Singular Value Decomposition and it's relations with other concepts
I know from the notes that
$A v_i = sigma_iu_i$ and $A^T u_i = sigma_iv_i$
Let's say one of my eigenvalue = 4, so one of my
$sigma = 2$;
Now, I need to find out how to modify these two equations so that I will be able to find out what is vector x for:
$AA^T x = sigma^2 x$ and $A^TA x = sigma^2 x $
Also, what about SVD relation with kernel and bases?
please help! Thank you
linear-algebra
edited Dec 8 at 8:01
José Carlos Santos
149k22117219
asked Dec 8 at 5:53
daddymaterial
61
add a comment |
I know from the notes that
$A v_i = sigma_iu_i$ and $A^T u_i = sigma_iv_i$
Let's say one of my eigenvalue = 4, so one of my
$sigma = 2$;
Now, I need to find out how to modify these two equations so that I will be able to find out what is vector x for:
$AA^T x = sigma^2 x$ and $A^TA x = sigma^2 x $
Also, what about SVD relation with kernel and bases?
please help! Thank you
linear-algebra
edited Dec 8 at 8:01
José Carlos Santos
149k22117219
asked Dec 8 at 5:53
daddymaterial
61
add a comment |
I know from the notes that
$A v_i = sigma_iu_i$ and $A^T u_i = sigma_iv_i$
Let's say one of my eigenvalue = 4, so one of my
$sigma = 2$;
Now, I need to find out how to modify these two equations so that I will be able to find out what is vector x for:
$AA^T x = sigma^2 x$ and $A^TA x = sigma^2 x $
Also, what about SVD relation with kernel and bases?
please help! Thank you
linear-algebra
edited Dec 8 at 8:01
José Carlos Santos
149k22117219
asked Dec 8 at 5:53
daddymaterial
61
I know from the notes that
$A v_i = sigma_iu_i$ and $A^T u_i = sigma_iv_i$
Let's say one of my eigenvalue = 4, so one of my
$sigma = 2$;
Now, I need to find out how to modify these two equations so that I will be able to find out what is vector x for:
$AA^T x = sigma^2 x$ and $A^TA x = sigma^2 x $
Also, what about SVD relation with kernel and bases?
please help! Thank you
linear-algebra
linear-algebra
edited Dec 8 at 8:01
José Carlos Santos
149k22117219
asked Dec 8 at 5:53
daddymaterial
61
edited Dec 8 at 8:01
José Carlos Santos
149k22117219
asked Dec 8 at 5:53
daddymaterial
61
edited Dec 8 at 8:01
José Carlos Santos
149k22117219
edited Dec 8 at 8:01
José Carlos Santos
149k22117219
edited Dec 8 at 8:01
José Carlos Santos
149k22117219
149k22117219
asked Dec 8 at 5:53
daddymaterial
61
asked Dec 8 at 5:53
daddymaterial
61
asked Dec 8 at 5:53
daddymaterial
61
61
add a comment |
add a comment |
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oldest
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