Matritsalar ustida arifmetik amallar

Amaliy mashg‘ulot uchun mashqlar


3.1. Agar matritsa nosingular va simmetrik bo‘lsa, matritsa ham nosingular va simmetrik bo‘lishini ko‘rsating,
3.2. Agar kvadrat matritsa va nosingular matritsa bo‘lsa,
tenglik bajarilishini ko‘rsating.
3.3. matritsaning teskari matritsaga ega bo‘lishi shartini toping.
3.4. va bo‘lsin. ekanini ko‘rsating.
3.5. matritsa matritsaning teskari matritsasi bo‘lishini ko‘rsating.
3.6. matritsa matritsaning teskari matritsasi
bo‘lishini ko‘rsating.
3.7. Berilgan matritsalardan qaysi birlari uchun teskari matritsa mavjud bo‘ladi?
1) 2) 3)
3.8. bo‘lsin. va bo‘lishini ko‘rsating.
3.9. Berilgan matritsalardan qaysi birlari o‘zaro teskari matritsalar bo‘ladi?
1) va 2) va
3) va 4) va
3.10. matritsa berilgan. matritsani toping.
3.11. matritsa berilgan. matritsani toping.
3.12. Berilgan shartlarni qanoatlantiruvchi matritsani toping:
1) 2)
3) 4) .
3.13. bo‘lsin. ni toping.
3.14. matritsa berilgan. ko‘paytmaning barcha nodiagonal elementlarini toping.
3.15. matritsa berilgan. ko‘paytmaning barcha diagonal elementlarini toping.
matritsa berilgan. matritsani toping:
3.16. 3.17.
matritsa berilgan. matritsani Jordan-Gauss usuli bilan toping:
3.18. 3.19.
_3.20. matritsa berilgan. Matritsaning _{yoyilmasini toping:
1) 2)
3) ; 4) ;
5) 6)}
matritsa berilgan. ni minorlar ajratish usuli bilan toping:
3.21. 3.22.
matritsa berilgan. ni elementar almashtirishlar usuli bilan toping:
3.23. 3.24.