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Clash Royale CLAN TAG #URR8PPP up vote 10 down vote favorite I observed that if $$A = beginbmatrix a & b \ c & d endbmatrix$$ with non-zero eigenvalues $alpha$ and $beta$, then $$beginbmatrix A & A\ A & A endbmatrix$$ has eigenvalues $2 alpha$, $2 beta$, and $0$. Also, $$beginbmatrix A & A & A \ A & A & A \ A & A & A endbmatrix$$ has eigenvalues $3 alpha$, $3 beta$, $0$. Therefore, my conjecture is that for some $r$, $A^[r]$ has eigenvalues $(r+1) alpha$, $(r+1) beta$, $0$. Is it correct? Is there some theorems related to this? How about their eigenvectors? Can you please send me links that can help me with this kind of problem? PS. This is my first time asking here. I am an undergrad math student. Please help me. Thank u so much. linear-algebra matrices eigenvalues-eigenvectors share | cite | improve this question edited Jul 22 at 11:37 asked Jul 22 at 11:21 Diggie Cruz 51 4 6 these...

Clash Royale CLAN TAG #URR8PPP up vote 1 down vote favorite What is the definition of "Sathpurisa/Sathpurusha" according to the Buddha? Please provide sutta references. Metta. sutras share | improve this question asked Aug 6 at 6:08 Akila Hettiarachchi 695 2 12 suttacentral.net/search?query=Sappurisa – Dhammadhatu Aug 6 at 6:19 @Dhammadhatu It gives a pali-english meaning. I actually need a sutta where the buddha defines who a sappurisa means. – Akila Hettiarachchi Aug 6 at 6:29 You'll find some dhamma sermons in youtube. – PL_pathum Aug 6 at 8:02 there are many suttas at the link. regards – Dhammadhatu Aug 6 at 11:14 add a comment  |  up vote 1 down vote favorite What is the definition of "Sathpurisa/Sathpurusha" according to the Buddha? Please...