The rank conditions such that AB and BA are similar and applications
نویسندگان
چکیده
منابع مشابه
The Jordan forms of AB and BA
The relationship between the Jordan forms of the matrix products AB and BA for some given A and B was first described by Harley Flanders in 1951. Their non-zero eigenvalues and non-singular Jordan structures are the same, but their singular Jordan block sizes can differ by 1. We present an elementary proof that owes its simplicity to a novel use of the Weyr characteristic.
متن کاملit is not possible to understand developments of a country’s culture and civilization without knowing his believes and myths. whether it is north or south, east or west, planes or mountains, sahara or deserts, here in iran every corner includes valuable and precious treasures which are known all over the world, and cultural – historical objects which are found here adorn all well known museums of the globe. zagros mountains, lorestan province locating at the heart of that, are not only the same, but are more prominent than other iranian regions. you can not find someone who does not know what the lorestani bronzes are, and there is no museum that not be pride of having a piece of that. the said bronzes which are manufactured four millenniums b.c. are admired nearly by all those researchers because of their beauty, diversity and technique. lorestani artistic works including stone engraves, bronzes and clays, show an ideal and metaphysical world beside real world which explain mental system of human beings on that era against sensations and phenomena happening around them. men main mental occupation on that time was he unknown world which had surrounded them, and they used to use the religion to fight life’s natural factors, and art was a tool of religious and mythical painting which was far from reality and had entered into the abstract domain. as natural objects have become subjects of lorestani art, it cleanses them from any non – intrinsic limitations and external factors which surround them and darken their meanings, and just shows their main specifications. artist in the said civilization is not searching for realism. although these are few works showing the nature, but in effect there is no wish to imitate touchable factors of the nature, and artist has turned real phenomena to encoded signs as per his own mentality. this procedure is called stylization.
it is not possible to understand developments of a country’s culture and civilization without knowing his believes and myths. whether it is north or south, east or west, planes or mountains, sahara or deserts, here in iran every corner includes valuable and precious treasures which are known all over the world, and cultural – historical objects which are found here adorn all well known museums...
the relationship between learners critical thinking ability and their performance in the reading sections of the tofel and ielts test
the study reflected in this thesis aims at finding out relationships between critical thinking (ct), and the reading sections of tofel and ielts tests. the study tries to find any relationships between the ct ability of students and their performance on reading tests of tofel and academic ielts. however, no research has ever been conducted to investigate the relationship between ct and the read...
15 صفحه اولthe relationship between efl learners linguistic and logical intelligence and the frequency and types of informal fallacies and evidence in argumentative writing
مطالعه حاضر با هدف بررسی وجود رابطه ی ممکن میان هوشهای زبانی و منطقی زبان آموزان انگلیسی و تعداد و انواع مغلطه های زبانی و شواهد در متنهای استدلالی آنان انجام پذیرفته است.بدین منظور، 70 زبان آموز با سطح زبانی متوسط به بالا از دو موسسه زبان انگلیسی در ایران انتخاب شده و پرسشنامه های مزبوطه را تکمیل نموده و متنی استدلالی نوشتند. متون نوشته شده مورد بررسی قرار گرفته و نمرات پرسشنامه ها محاسبه شده ...
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ژورنال
عنوان ژورنال: International Journal of Algebra
سال: 2007
ISSN: 1314-7595
DOI: 10.12988/ija.2007.07030