ACT Topics

Complex Numbers

100

Which of the following complex numbers is equal to √−80 – √−125?

i√5

200

Which of the following complex numbers is equal to i−1/i+1?
 

i

300

Which of the following is equal to the sum of the complex numbers (2+i)2(2+i)2 and (2−i)2(2−i)2 ?

6

400

Which of the following equations has roots at 2, 2i and −2i ?

(x−2)(x^2+4)

Vectors

100

2i+3j

(2,3)

200

(5i-2j)

(5,-2)

300

-2i+3j

(-2,3)

400

-1i-7j

(-1,-7)

Matrix

100

[4 2] - [2 1]

[2 1]

200

[5 3] + [7 2]

[12 5]

300

[4 7 3] - [2 5 -1]

[2 2 4]

400

[2 3 -1] + [-1 4 2]

[1 7 1]