“CHIZIQLI ALGEBRA ASOSLARI VA UNING TATBIQI”
MODULI BO`YICHA MUSTAQIL TA’LIM TOPSHIRIQLARI
Topshiriq
Misollar sharti variantda berilgan.
1-variant
1.![](data:image/png;base64,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) bazisdan bazisga o`tish matritsasi berilgan. vektorning bazisdagi koordinatalarini toping.
2. Agar bazisda chiziqli operator matritsa bilan berilgan va bo`lsa, vektorning koordinatalarini toping.
3. kvadratik shaklni kanonik ko`rinishga keltiring.
2-variant
1. bazisda vektor berilgan. Bu vektorning bazisdagi koordinatalarini toping.
2. bazisda operator matritsaga ega. Agar bo‘lsa, bazisda operatorning matritsasini toping.
3. Kvadratik shaklni kanonik ko`rinishga keltiring:
3-variant
1. vektor va vektorlar orqali chiziqli ifodalanadigan ning barcha qiymatlarini toping.
2. bazisda chiziqli operator matritsa bilan berilgan, bo`lsa, vektorning koordinatalarini toping.
3. Kvadratik shaklni kanonik ko`rinishga keltiring:
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