Texnologik mashinalar va jihozlar “Oliy matematika” fanidan test topshiriqlari

№6 Fan bobi-1; Fan bo’limi-2; Qiyinlik darajasi-3;

Hisoblang

-3

4

-6

-10

№7 Fan bobi-1; Fan bo’limi-2; Qiyinlik darajasi-2;

Uchinchi tartibli matrisaning bitta satrini 2 soniga ko’paytirilsa bu matrisaga mos determinant qiymati qanday o’zgaradi?

determinant qiymati 2 martaga ko’payadi

determinant qiymati 8 martaga ko’payadi

determinant qiymati 4 martaga ko’payadi

determinant qiymati 16 martaga ko’payadi

№8 Fan bobi-1; Fan bo’limi-2; Qiyinlik darajasi-2;

Determinant qiymatini toping:

-2

8

-5

-4

№9 Fan bobi-1; Fan bo’limi-3; Qiyinlik darajasi-2;

determinantning elementi minorini toping

10

9

20

8

№10 Fan bobi-1; Fan bo’limi-2; Qiyinlik darajasi-2;

Determinantni…

faqat kvadrat matritsa uchun hisoblash mumkin

faqat birlik va kvadrat matritsa uchun hisoblash mumkin

faqat diagonal va xos matritsa uchun hisoblash mumkin

faqat nol va kvadrat matritsa uchun hisoblash mumkin

№11 Fan bobi-1; Fan bo’limi-2; Qiyinlik darajasi-2;

Nol satrli kvadrat matritsa determinanti

0 ga teng

-7 ga teng

-1 ga teng

Aniq emas

№12 Fan bobi-1; Fan bo’limi-2; Qiyinlik darajasi-3;

Tenglamani yeching

2

1

0

5

№13 Fan bobi-1; Fan bo’limi-3; Qiyinlik darajasi-2;

Transponirlangan matritsaning determinantidan matritsa determinantini ayirmasi…

0 ga teng

berilgan matritsa determinantiga teng

1 ga teng

berilgan matritsa determinantini teskari ishora bilan olinganiga teng

№14 Fan bobi-1; Fan bo’limi-3; Qiyinlik darajasi-2;

Teskari matritsa faqat quyidagi holda mavjud:

xosmas matritsa uchun

nol xosmas matritsa uchun

ihtiyoriy kvadrat matritsa uchun

ihtiyoriy kvadrat matritsa uchun

№15 Fan bobi-1; Fan bo’limi-3; Qiyinlik darajasi-3;

O’zaro teskari matritsalar ko’paytmasi…

birlik matritsaga teng

Doim nol matritsaga teng

birinchi ustun matritsaga teng

Doim satr matritsaga teng

№16 Fan bobi-1; Fan bo’limi-3; Qiyinlik darajasi-3;

Matritsaning rangini toping

1

0

-3

4

№17 Fan bobi-1; Fan bo’limi-3; Qiyinlik darajasi-2;

Chiziqli tenglamalar sistemasi yechimga ega, faqat va faqat…

asosiy matritsa rangi kengaytirilgan matritsa rangiga teng bo’lsa

asosiy matritsa rangi kengaytirilgan matritsa rangidan 2taga ortiq bo’lsa

asosiy matritsa rangi kengaytirilgan matritsa rangidan 1taga kam bo’lsa

asosiy matritsa rangi kengaytirilgan matritsa rangidan kichik bo’lsa

№18 Fan bobi-1; Fan bo’limi-3; Qiyinlik darajasi-2;

Chiziqli tenglamalar sistemasining o’ng tomoni , bir jinsli tenglamalar sitemasi deyiladi.

nol vektorga teng bo’lsa

faqat ikkilardan iborat bo’lsa

faqat manfiy sonlardan iborat bo’lsa

faqat birlardan iborat bo’lsa

№19 Fan bobi-1; Fan bo’limi-3; Qiyinlik darajasi-3;

Tenglamalar sistemasini yeching

№20 Fan bobi-1; Fan bo’limi-3; Qiyinlik darajasi-2;

Chiziqli tenglamalar sistemasida , uni Kramer usulida yechish mumkin.

asosiy matritsa kvadrat xosmas matritsa bo’lsa,

asosiy matritsa faqat birlardan tashkil topgan bo’lsa,

asosiy matritsa faqat no1lardan tashkil topgan bo’lsa,

asosiy matritsa kvadrat xos va kvadrat matritsa bo’lsa,

№21 Fan bobi-1; Fan bo’limi-3; Qiyinlik darajasi-3;

Tenglamalar sistemasini yeching