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Eğitmen, alt uzay kavramını ve alt uzay olma şartlarını açıklamaktadır.","Videoda alt uzay olma şartları (toplamların ve skaler çarpımların alt uzayda kalması) hatırlatılarak dört farklı örnek soru çözülmektedir. Örnekler arasında R³ uzayında bir alt küme, M₂₂ matris uzayında bir alt küme, M₂₂ matris uzayında bir alt küme ve P₂ polinom uzayında bir alt küme bulunmaktadır. Her örnek için alt uzay olma şartları uygulanarak, hangi kümelerin alt uzay olduğu, hangilerinin olmadığı detaylı olarak gösterilmektedir."]},"endTime":884,"title":"Alt Uzay Örnek Soruları Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Alt Uzay Kavramı ve Örnekler","list":{"type":"unordered","items":["Video, alt uzay kavramını örneklerle açıklamayı amaçlamaktadır.","Alt uzay olma için iki şart vardır: iki vektörün toplamının alt uzayın elemanı olması ve bir vektörün skaler çarpımının alt uzayın elemanı olması.","İlk örnek, R³ uzayında verilen bir alt kümenin alt uzay olup olmadığı incelenmektedir."]},"beginTime":0,"endTime":50,"href":"/video/preview/11489038444584109721?parent-reqid=1769550623897305-6839285724774069982-balancer-l7leveler-kubr-yp-vla-101-BAL&text=Altlaender1&t=0&ask_summarization=1"},{"index":1,"title":"R³ Uzayında Alt Uzay Örneği","list":{"type":"unordered","items":["Alt küme W, (x₁, x₂, x₁+2x₂) formatında vektörlerden oluşmaktadır.","İki vektörün 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