Matrice u visokoškolskoj matematici nezaobilazni su dio sadržaja kojeg studenti moraju savladati. Shvaćanje pojma matrica ne predstavlja velik problem za studente kao ni operacije transponiranja, ...zbrajanja i oduzimanja. Problemi nastaju kod množenja, traženja inverza i rješavanja sustava linearnih jednadžbi primjenom Gaussove metode transformacija. Matrix Reshish je mrežna stranica koja je prilagođena za korištenje putem mobilnih uređaja, a sadrži matrični kalkulator. Kalkulator je koncipiran tako da daje rješenje postavljenog zadatka korak po korak, što uvelike olakšava studentu uvježbavanje rješavanja zadatka.
Pojam svojstvenih vrijednosti i spektra matrice odavno se istražuje i koristi u matematici. Svojstvene vrijednosti matrica u mnogim slučajevima daju izvrstan uvid u svojstva samih matrica, no katkada ...ne daju dovoljno informacija za rješavanje problema na koje se može naići. Takvi se slučajevi pojavljuju u raznim granama matematike kao npr. teorije operatora i teorije Markovljevih lanaca i ostalih znanosti, od populacijske ekologije, preko laserske tehnologije, kvantne mehanike i hidrodinamike.
Katkada se preciznije informacije o matrici mogu dobiti korištenjem pseudospektra te je cilj ovog članka dati čitatelju osnovne informacije o ovom zanimljivom poopćenju pojma spektra.
U ovom će članku biti navedeni osnovni pojmovi vezani uz pseudospektar, ekvivalentne definicije pseudospektra, odnos prema običnom spektru matrica, kao i neka osnovna svojstva.
http://e.math.hr/math_e_article/br18/nakic_petric
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Provider: - Institution: - Data provided by Europeana Collections- All metadata published by Europeana are available free of restriction under the Creative Commons CC0 1.0 Universal Public Domain ...Dedication. However, Europeana requests that you actively acknowledge and give attribution to all metadata sources including Europeana
Provider: - Institution: - Data provided by Europeana Collections- All metadata published by Europeana are available free of restriction under the Creative Commons CC0 1.0 Universal Public Domain ...Dedication. However, Europeana requests that you actively acknowledge and give attribution to all metadata sources including Europeana
Basic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with ...applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.
