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3h
answered $R(T)$ and $N(T)$ are $T$-invariant subspaces
8h
comment What is an irreducible polynomial in $\mathbb{Z}$ that has root $\sqrt{2}+\sqrt{3}$?
What are your thoughts on the problem? What do you expect the degree of this polynomial to be?
13h
comment How to prove a function is a matrix exponential?
@sasha $a^{xA} = e^{x[\ln(a) A]}$
13h
comment How to prove a function is a matrix exponential?
I think you need (at least) the additional hypothesis that $F$ is continuous.
13h
comment Is the flux through $A$ the same as the flux through $B$?
The answer (assuming I understand the question correctly) is no. Because the field is stronger by $A$, the flux through $A$ will be greater.
13h
reviewed Approve For a normed vector space $ E $ and an element $ x \in E $, prove that if $ L(x) = 0 $ for every continuous linear functional $ L $, then $ x = 0 $.
1d
comment Prove that any non-zero-divisor of a finite dimensional algebra has an inverse
This would apply specifically to algebras over a field.
1d
comment Prove that any non-zero-divisor of a finite dimensional algebra has an inverse
I assume that it's an algebra which is finite dimensional, if considered as a vector space.
1d
revised Prove that any non-zero-divisor of a finite dimensional algebra has an inverse
added 339 characters in body
1d
answered Prove that any non-zero-divisor of a finite dimensional algebra has an inverse
1d
revised Solution for system of quadratic equations
edited tags
1d
answered Finding orthonormal basis using orthogonal basis
2d
comment Linear transforms of functions
Do you have a working "definition" of a vector? Does the text you're using provide a definition?
2d
answered Vector spaces whose elements are functions
2d
comment Suppose $\langle\cdot,\cdot\rangle_1$ and $\langle\cdot,\cdot\rangle_2$ are inner products on $V$ such that…
One approach: note that inner product (like any multilinear map) is determined by how it acts on a basis
2d
comment What is the difference between $A^{-1}$ and $A^\Theta$?
@user36790 $A^H$ means $A^\Theta$.
Apr
25
comment Product of any two arbitrary positive definite matrices is positive definite or NOT?
@S.Panja-1729 check $ABA$ again, with these matrices $A,B$. $A^2+I$ will necessarily be positive definite.
Apr
24
answered Product of any two arbitrary positive definite matrices is positive definite or NOT?
Apr
24
comment Product of any two arbitrary positive definite matrices is positive definite or NOT?
To be clear: by your definition, positive definite matrices are not necessarily symmetric. Is that correct?
Apr
24
comment Derivative of the power tower
@RazvanParaschiv what is $1 - 0.999...$?