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I have a B.Sc in computer science and a B.Sc in mathematics from the Technion.

I am interested mainly in abstract algebra and I hope to start graduate school soon to continue study some advanced topics in this area.

Currently I am going over Abstract Algebra by Dummit and Foote to recall old topics and fill some gaps I have, while working full time as a programmer.


May
18
comment b such that Ax = b has no solution having found column space
@HenningMakholm what about $\mathbb{R}^2 $ and $W=sp\{(1,0)\} $?
May
17
answered Simple algebraic manipulation
May
17
comment $x^3+3x^2+4x+5=0$ and $x^3+2x^2+7x+3=0$, how many common roots they have?
@Macavity - Yes, I looked at Andreas answer and I saw where I made the mistake and edited to correct it
May
17
comment $x^3+3x^2+4x+5=0$ and $x^3+2x^2+7x+3=0$, how many common roots they have?
@Macavity -already edited! :)
May
17
answered $x^3+3x^2+4x+5=0$ and $x^3+2x^2+7x+3=0$, how many common roots they have?
May
17
revised $x^3+3x^2+4x+5=0$ and $x^3+2x^2+7x+3=0$, how many common roots they have?
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May
17
answered Question regarding basic probability.
May
17
revised Question regarding basic probability.
edited tags
May
17
comment Question regarding basic probability.
Why did you divide by $16$ in $b$ ?
May
17
comment Find Fourier series coefficients of $f(x)$.
@Modestas_S - If you do the integral from $-0.5$ to $0$ and from $0$ to $0.5$ then you don't need the absolute value since the sign of $x$ is know in those intervals
May
17
answered Proving that a function is periodic
May
17
comment Find Fourier series coefficients of $f(x)$.
@Modestas_S - I mean that you can calculate the definite integral after you have solved the indefinite integral. But all the hard work is doing this integral
May
17
comment How can I prove this Vector space is sum of two space?
@HagenvonEitzen - If $B=\{e_{i}\}_{i=1}^{3}$ is the standard base then $Ker(T)=sp\{e_{1},e_{2}\}$and $Ker(T^{t})=sp\{e_{2},e_{3}\}$ so the sum is $sp\{e_{1},e_{2},e_{3}\}$ and so both RHS and LHS equal to $3$
May
17
comment How can I prove this Vector space is sum of two space?
@PraphullaKoushik - that it does satisfy the proposed equality..
May
17
comment How can I prove this Vector space is sum of two space?
@PraphullaKoushik - this example seem to check out..
May
17
comment How can I prove this Vector space is sum of two space?
@DonAntonio - My bad, I meant the vector space
May
17
comment How can I prove this Vector space is sum of two space?
@DonAntonio - Right, so the dimension of both elements in the sum would be $dim(V)$ and this would give us $2dim(V)$ which is twice as much as the RHS
May
17
comment How can I prove this Vector space is sum of two space?
Is the matrix over $\mathbb{C}$ ?
May
17
comment How can I prove this Vector space is sum of two space?
@HagenvonEitzen - Note that if the equation was as you wrote in the comment then $T=0$ would be a counterexample
May
17
revised How can I prove this Vector space is sum of two space?
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