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Apr
26
awarded  Popular Question
Dec
26
comment Are the eigenvalues of $AB$ equal to the eigenvalues of $BA$? (Citation needed!)
@Phira thank you very much!
Dec
13
comment Consider the quadratic form $q(x,y,z)=4x^2+y^2−z^2+4xy−2xz−yz $ over $\mathbb{R}$ then which of the following are true
I'm wondering if checking to see if it is positive definite will also help find us the range?
Dec
13
comment Teaching myself differential topology and differential geometry
@JavierÁlvarez thank you very much!
Dec
13
comment Teaching myself differential topology and differential geometry
@JavierÁlvarez Sorry to bother you on this old post but the highest math class I have taken thus far is linear algebra. Would the list you recommend help me or should I start reading more basics books? I am going to take abstract algebra, complex analysis, and analysis 1 next semester.
Dec
12
answered Advice on Understanding Vector Spaces and Subspaces
Dec
11
comment Independent math learning
I asked a question very similar to this last week and mine got closed -_-
Dec
11
comment Linear algebra: orthonormal eigenvectors
I don't think this answer is very helpful. It should be a comment rather than an answer, but @niagara you should orthogonalize the given matrix which then will give you the desired vectors.
Dec
11
comment Nilpotent Eigenvalues Proof
Thank you very much, dineshdileep!
Dec
11
accepted Nilpotent Eigenvalues Proof
Dec
11
comment Nilpotent Eigenvalues Proof
Thank you very much! I wish there was a way to rate the top two answers because you and Tom helped a lot on this question.
Dec
11
comment Nilpotent Eigenvalues Proof
Actually, I got it thank you very much!
Dec
11
comment Nilpotent Eigenvalues Proof
K, can you define what P is?
Dec
11
comment Nilpotent Eigenvalues Proof
Should I have added that fact that $D^n$ will have $0$ eigenvalues? Will that suffice?
Dec
11
comment Nilpotent Eigenvalues Proof
If D is strictly upper triangular matrix then $D^n$ will also be strictly upper diagonal matrix?
Dec
11
comment Nilpotent Eigenvalues Proof
Yes, please do ..
Dec
11
comment Nilpotent Eigenvalues Proof
Okay then, thanks for the insight!
Dec
11
comment Nilpotent Eigenvalues Proof
Yes, but I have not learned Cayley-Hamilton theorem yet so I cannot use their proof.
Dec
11
comment Nilpotent Eigenvalues Proof
I have not learned Cayley-Hamilton theorem yet.
Dec
11
comment Nilpotent Eigenvalues Proof
I have not learned Cayley-Hamilton theorem yet.