Geodesic
Problems on linear algebra at higher school students' olympiads
Matematičeskoe obrazovanie, Tome 91 (2019) no. 3, pp. 26-48.

Voir la notice de l'article provenant de la source Math-Net.Ru

A set of Olympiad-type problems on linear algebra, with solutions, for higher school students, is suggested.
Keywords: student mathematical olympiads, problems in linear algebra. 
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A. Yu. Evnin; Yu. A. Ignatov. Problems on linear algebra at higher school students' olympiads. Matematičeskoe obrazovanie, Tome 91 (2019) no. 3, pp. 26-48. http://geodesic.mathdoc.fr/item/MO_2019_91_3_a4/

[1] Ignatov Yu.A., Vserossiiskie studencheskie turniry matematicheskikh boev, v. I, Izd-vo TGPU im. L.N. Tolstogo, Tula, 2016, 148 pp.

[2] Ignatov Yu.A., Shulyupov V.A., Evnin A.Yu., Zadachi studencheskikh matematicheskikh boev, Izd-vo YuUrGU, Chelyabinsk, 2005, 43 pp.

[3] I.S. Grigoreva (sost.), Kazanskie studencheskie olimpiady po matematike, sbornik zadach, Kazanskii universitet, Kazan, 2011, 48 pp.

[4] Grigoreva I.S., Lerner E.Yu., Kazanskie studencheskie olimpiady po matematike, posvyaschennye dnyu rozhdeniya N.I. Lobachevskogo, cbornik zadach. ucheb.-met. Posobie, v. 2, Kazanskii universitet, Kazan, 2015, 36 pp.

[5] Dmitriev I.G., Markov V.G. Popov S.V., Shamaev E.I., Matematicheskie olimpiady Lavrentevskikh chtenii 1997–2015 (SVFU im. M.K. Ammosova), ID SVFU, Yakutsk, 2016, 77 pp.

[6] Prasolov V.V., Zadachi i teoremy lineinoi algebry, MTsNMO, M., 2015, 576 pp.

[7] Evnin A.Yu., “Metod mass v zadachakh”, Matematicheskoe obrazovanie, 2015, no. 1(73), 27—47

[8] Evnin A.Yu., Lerner E.Yu., Ignatov Yu.A., Grigoreva I.S., “Zadachi po teorii veroyatnostei na studencheskikh olimpiadakh”, Matematicheskoe obrazovanie, 2017, no. 4(84), 45—62 <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=3850153'>3850153</ext-link>

[9] Evnin A.Yu., Matematicheskie olimpiady v YuUrGU 2010–2015 gg., Izdatelskii tsentr YuUrGU, Chelyabinsk, 2016, 63 pp.

[10] Evnin A.Yu., Sto pyatdesyat krasivykh zadach dlya buduschikh matematikov, LENAND, M., 2018, 224 pp.

[11] Evnin A.Yu., Esche 150 krasivykh zadach dlya buduschikh matematikov, LENAND, M., 2018, 216 pp.

[12] Resheniya vstupitelnykh ispytanii v ShAD, <ext-link ext-link-type='uri' href='https://efiminem.github.io/supershad/'>https://efiminem.github.io/supershad/</ext-link>

[13] North Countries Universities Mathematical Competition, <ext-link ext-link-type='uri' href='http://mathdep.ifmo.ru/ncumc/archive/'>http://mathdep.ifmo.ru/ncumc/archive/</ext-link>