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Nov
15
answered Eigenvalues of operator $p(T)$ in terms of the eigenvalues of $T$, where $p$ is a polynomial
Nov
12
answered Is there a simpler proof that $f(x,y,z) = 4x + 11y + 18z$ is surjective?
Nov
3
answered Let $V$ be a finite dimensional real vector space and let $A:V\to V$ be a linear map such that $A^2=A$
Oct
21
answered Deduce the Bolzano-Weierstrass Theorem from the Heine-Borel Theorem
Oct
14
answered Graph of measurable function has measure 0 in the product measure space
Oct
2
answered Decomposing Countable Union of Measurable Sets
Oct
1
answered $AB$ is not invertible
Sep
27
answered Theorem 20 Hoffman Kunze Linear Algebra book Section 3.6
Sep
27
answered Task interpretation for Hoffman Kunze Linear Algebra exercise 1 (b) sec. 3.6
Sep
9
answered Prove that $\sin(x+a), \sin(x+b),\sin(x+c), \hspace{5pt} a,b,c \in \mathbb{R}$ are linearly dependent
Jul
31
answered Let $T:V\to W$ be a linear transformation. If $\dim V> \dim W$ then $T$ is not injective. True or false?
Jul
10
answered The annihilator of an intersection
Jun
4
answered Why doesn't mathematical induction work backwards or with increments other than 1?
May
23
answered If $AB = I$ then $BA = I$
Apr
4
answered How to understand Cauchy's proof of AM-GM inequality(the last step)
Mar
25
answered Riemann-integrable functions and pointwise convergence
Mar
14
answered Is mathematics a science?
Jan
20
answered How to show these two definitions of the Riemann integral are equivalent?
Jan
7
answered Prove that $ x^n - y^n = (x-y) (x^{n-1}+x^{n-2}y\,+ \,\,…\,\,+ y^{n-1})$
Dec
28
answered A proof of Artin's linear independence of characters