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Jun
24
comment Is the eigenspace of a matrix $A$ equal to its column space?
Thanks for the answer!
Jun
24
reviewed Approve Is the eigenspace of a matrix $A$ equal to its column space?
Jun
24
asked Is the eigenspace of a matrix $A$ equal to its column space?
Jun
24
awarded  Popular Question
Jun
15
comment Finding the last nonzero digit of the factorial of a large number
Exactly but when we get above ten we cannot simply omit 12 and 15 for instance as they multiply to 180 which does change the last non zero digit, besides adding an extra zero digit.
Jun
15
comment Finding the last nonzero digit of the factorial of a large number
For $f(10)$ we would be fine if we leave out both 2 and 5 as they multiply to form 10, but that no longer works when we get above 10.
Jun
15
comment Finding the last nonzero digit of the factorial of a large number
thanks for your answer, I was thinking about something along these lines. However, we have for instance that $f(10) = 8$, while the last digit of $10!/5$ is not 8.
Jun
15
asked Finding the last nonzero digit of the factorial of a large number
May
12
asked Galerkin method for the following integral equation
May
5
reviewed Approve Problem with partial fractions
Apr
13
reviewed Approve Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof.
Apr
13
accepted Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof.
Apr
13
comment Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof.
Ah perfect I see now! Thanks for clearing up the confusion. I did not realize that linear combinations should satisfy the finite support property you describe.
Apr
13
comment Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof.
Thanks for your answer, I get what you are saying but I am afraid I am not sure how it helps. The contradiction in the proof comes from the fact that $x_m$ is the first eigenvector that can be written as a linear combination of the first $m-1$ eigenvectors. But how can we talk about such ordering if we have an index set of cardinality greater than $\mathbb R$? In other words, how can we possibly say this is the first eigenvector such that...
Apr
13
asked Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof.
Apr
2
revised Let $z=re^{i2\pi\theta}$ and $w=\lambda z+cz^2\bar{z}+\mathcal{O}(z^4)=\tilde{r}e^{i2\pi\psi}$, what is an $\mathcal{O}(r^3)$ approximation of $\psi$?
added 97 characters in body; edited title
Apr
2
revised Let $z=re^{i2\pi\theta}$ and $w=\lambda z+cz^2\bar{z}+\mathcal{O}(z^4)=\tilde{r}e^{i2\pi\psi}$, what is an $\mathcal{O}(r^3)$ approximation of $\psi$?
added 97 characters in body; edited title
Apr
2
revised Let $z=re^{i2\pi\theta}$ and $w=\lambda z+cz^2\bar{z}+\mathcal{O}(z^4)=\tilde{r}e^{i2\pi\psi}$, what is an $\mathcal{O}(r^3)$ approximation of $\psi$?
added 46 characters in body
Apr
2
asked Let $z=re^{i2\pi\theta}$ and $w=\lambda z+cz^2\bar{z}+\mathcal{O}(z^4)=\tilde{r}e^{i2\pi\psi}$, what is an $\mathcal{O}(r^3)$ approximation of $\psi$?
Mar
28
reviewed Approve How can I get if an object is facing another in degrees if one has 0 and the other one has 360?