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1d
revised Prove for symmetric real matrix $M$,$z^TMz>0$ for real vector $z$ for real implies it's true in complex
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1d
asked Prove for symmetric real matrix $M$,$z^TMz>0$ for real vector $z$ for real implies it's true in complex
Jul
29
asked Prove there exists a self-adjoint transformation $C$ s.t. $CA=B$ if $A$ and $AB$ are self adjoint
Jul
29
asked Why we define the adjoint operator
Jul
23
asked Topology property of inner product and norm
Jul
21
comment $Ker(A-\lambda_j)^{k_j},j=1,\cdots p$ span the whole space $V$?
I mean the basis in each $Ker(A-\lambda)^{k_y}$ together are linearly independent
Jul
21
comment $Ker(A-\lambda_j)^{k_j},j=1,\cdots p$ span the whole space $V$?
how to show the basis in $Ker(A-\lambda_j)^{k_j}$ are linearly independent
Jul
21
asked $Ker(A-\lambda_j)^{k_j},j=1,\cdots p$ span the whole space $V$?
Jul
21
asked The uniqueness of every linear operator on $V$ is a direct sum of a nilpotent and an invertible operator?
Jul
20
asked The basis induced by the nilpotent linear transformation
Jul
17
revised Definition of determinant w.r.t $n$-linear form
deleted 10 characters in body
Jul
17
revised Definition of determinant w.r.t $n$-linear form
added 29 characters in body
Jul
17
asked Definition of determinant w.r.t $n$-linear form
Jul
16
asked $A$ and $B$ similar if $A^2=B^2=0$ and dimension of range $A$ and $B$ are equal
Jul
11
asked Find a linear transformation s.t the only invariant subspace is $0$ and itself
Jul
10
asked Prove $(AB-BA)^2$ and $C$ commute in two dimensional space?
Jul
6
asked Find basis corresponding to dual basis
Jun
27
awarded  Nice Question
Jun
27
asked Basis for $l^{\infty}$
Jun
25
comment Find whats's wrong with this proof about the reflexive vector space
@BrianM.Scott I see. So what's way to form the basis in dual of vector space?