Complex numbers and matrices

What is i⁷, where i is the square root of -1?

• 1 -i
• 2 i
• 3 -1
• 4 1

What is the modulus of the complex number 3 + 4i?

• 1 7
• 2 25
• 3 1
• 4 5

What is (2 + 3i)(2 - 3i)?

• 1 -5
• 2 4 - 9i
• 3 13
• 4 -13

What is the determinant of the matrix [[2, 3], [1, 4]]?

• 1 5
• 2 11
• 3 8
• 4 -5

What is the complex conjugate of 5 - 2i?

• 1 2 - 5i
• 2 -5 + 2i
• 3 -5 - 2i
• 4 5 + 2i

The matrix [[1, 2], [2, 4]] is:

• 1 Singular
• 2 Invertible
• 3 The identity matrix
• 4 A zero matrix

What is (1 + i)²?

• 1 2i
• 2 1 + 2i
• 3 0
• 4 2

If I is the 2 x 2 identity matrix and A is any 2 x 2 matrix, then I A equals:

• 1 The zero matrix
• 2 A transposed
• 3 The inverse of A
• 4 A