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Oct
20
revised Different results for row reduction in Matlab
Possible solution
Oct
20
asked Different results for row reduction in Matlab
Oct
19
accepted Showing that $\{ 1, \cos t, \cos^2 t, \dots, \cos^6 t \}$ is a linearly independent set
Oct
10
comment Showing that $\{ 1, \cos t, \cos^2 t, \dots, \cos^6 t \}$ is a linearly independent set
Thank you for your answer, Arturo! I think my problem might stem from a misunderstanding of what linear independence requires. I thought for functions to be linearly independent, they need to be so for all $\mathbb{R}$; however, it seems like it's the other way around: i.e. if a set of functions are not linearly dependent for all $\mathbb{R}$, then they are linearly independent. So if we can show one example of linear independence, then we're done. Is that the gist of what you were saying?
Oct
10
comment Showing that $\{ 1, \cos t, \cos^2 t, \dots, \cos^6 t \}$ is a linearly independent set
Thank you for your answer, André! Forgive me for asking, but it is not obvious to me why the fact that $\cos t$ can take on more than 6 different values makes a contradiction?
Oct
8
asked Showing that $\{ 1, \cos t, \cos^2 t, \dots, \cos^6 t \}$ is a linearly independent set
Oct
8
comment Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
Thank you for the counterexample!
Oct
8
accepted Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
Oct
8
asked Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
Sep
18
awarded  Enthusiast
Sep
4
comment Showing that $\mathbf{u}=\mathbf{0}$ for $c\mathbf{u}=\mathbf{0}$, $c$ nonzero
Good point, thanks!
Sep
4
accepted Showing that $\mathbf{u}=\mathbf{0}$ for $c\mathbf{u}=\mathbf{0}$, $c$ nonzero
Sep
4
comment Showing that $\mathbf{u}=\mathbf{0}$ for $c\mathbf{u}=\mathbf{0}$, $c$ nonzero
@Srivatsan: Good to know, thanks!
Sep
4
comment Showing that $\mathbf{u}=\mathbf{0}$ for $c\mathbf{u}=\mathbf{0}$, $c$ nonzero
@Chandrasekhar: Thanks!
Sep
4
asked Showing that $\mathbf{u}=\mathbf{0}$ for $c\mathbf{u}=\mathbf{0}$, $c$ nonzero
Sep
3
revised Rotation of a vector distribution to align with a normal vector
LaTeX for arctan, arccos.
Sep
3
suggested approved edit on Rotation of a vector distribution to align with a normal vector
Sep
1
comment editing signal in frequency domain and converting back to time domain
You might want to post this at StackOverflow as well, for more answers (or even avp.stackexchange.com under signal-processing).
Sep
1
revised Is $\sin(x)/ \tan(x) = \cos(x)$ at $0$?
Added LaTeX.
Sep
1
suggested approved edit on Is $\sin(x)/ \tan(x) = \cos(x)$ at $0$?