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 Yearling
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May
22
awarded  Yearling
May
14
comment If the diagonals of an isosceles trapezoid are perpendicular to each other, prove that the area is $S=H^2$.
Look at it as a testament of your progress. ;-)
Apr
22
answered $A$ is normal matrix and has distinct eigenvalue, and $AB=0$. why $B$ is normal matrix?
Mar
23
comment Applied Linear Algebra
Those steps would be better, yes. As for writing formulas on this site, check this out.
Mar
22
comment Applied Linear Algebra
What do "from $(A^TA^{-1})^{-1}$, $(A^{-1})^{-1}(A^T)^{-1}$" and "Then, $(A)(A^T)^{-1}$" and similar constructs mean? If there is no equality, what is your statement? I think I know what you want to say, but you have to form proper statements in order to have a proper proof.
Feb
18
awarded  Necromancer
Feb
18
revised Norm of a positive definite symmetric matrix by a vector
deleted 181 characters in body
Feb
10
answered QR Decomposition Interpretation
Jan
23
comment Is LU decomposition of matrices efficient for today's standards?
This also depends on the pivoting, i.e., if you are considering the LU factiorization with the complete pivoting, with the partial pivoting, or without any pivoting at all. The last one doesn't even exist for all matrices (might not be important for some applications), and the first one is computationally quite expensive.
Jan
16
answered Is $A$ diagonalisable if its unitary?
Jan
5
comment Diagonalisability of Self-Adjoint Operators for Non-Symmetric Metrics
Can you provide a reference for the diagonalizability of self-adjoint operators in symmetric bilinear forms? I'm having a problem with that, so I want to get all the terms right.
Dec
9
awarded  Caucus
Nov
18
reviewed Approve Function Relations
Nov
18
answered Difference between complex symmetric and hermitian matrices
Nov
17
comment Diagonalizing zero matrix
@EhBabay What do the eigenvalues of a similarity matrix $S$ have to do with this? The eigenvalues of $A = 0$ matter here, and they are zero, as Chrispy wrote in his reply to you.
Nov
16
revised Diagonalizing zero matrix
added 32 characters in body
Nov
16
comment Diagonalizing zero matrix
@EhBabay What?!
Nov
15
comment Properties of LU decomposition
$PA = LU$ is usually considered an LU factorization with pivoting, while an LU factorization (without the mention of pivoting) is usually just $A = LU$. What is the exact text of your problem?
Nov
12
answered Determine the existence of a function
Nov
10
comment Determine the existence of a function
Good point. Did you find any others? Maybe that could give us some idea of the solution. Also, where did this problem come from?