B

TEST 1

Task 1. (6p.)

Find the GCD (a, b) and write it in form ka + lb , k, l
, for a = 638, b = 407 .

Task 2. ( 7p.)

a) Find the trigonometric form of the complex number
.

b) Using de Moivre's formula find the real and imaginary parts of
.

Task 3. (8p.)

Solve the following equation
,

Task 4. (7p.)

Find the unknown
from the system
using Cramer's rule.

Task 5. (8p.)

Solve the system
using the inverse of the coefficient matrix.

Task 6. (6p.)

Calculate the determinant

Task 7. (8p.) AAAAA

Solve the system

using the Gauss elimination method

Maximum 50 points .

Duration - 80 minutes.

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