3a 17.11.03

FULL NAME:

Test 1

Task 1 (7p.) Sketch the following set in the complex plane

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Task 2 (8p). Find the following set of numbers:
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Task 3 (8p.) Knowing that c = i is a root of the polynomial W(x) = x⁴ + x³ +3x² + x +2

find all the other complex roots of W(x).

Task 4 (6p.) Using elementary row operations calculate the inverse of

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Task 5 (6p.) Evaluate the determinant :

Task 6 (8p.) Using the Gauss elimination method solve the following system of equations:

Task 7 (7p.) Calculate the existing products: AB^T, B²C, CAB, AB^TC , for

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Duration 80 min.

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