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Question: Evaluate the determinant \\( \\begin{vmatrix} 1 & 2 & 3 \\\\ 4 & 5 & 6 \\\\ 7 & 8 & 9 \\en..
Question: If z1 = 1 + i and z2 = 1 - i, find z1 * z2.Options: 201-1Correct Answer: 2Solution: z1 * z..
Question: Find the conjugate of the complex number z = 5 - 6i.Options: 5 + 6i5 - 6i-5 + 6i-5 - 6iCor..
Question: If z = re^(iθ), what is the value of r if z = 4 + 4i?Options: 4√2842√2Correct Answer: 4√2S..
Question: Find the value of z if z^2 = -16.Options: 4i-4i4-4Correct Answer: 4iSolution: Taking squar..
Question: If z = 1 + i√3, find |z|.Options: 2345Correct Answer: 2Solution: |z| = √(1^2 + (√3)^2) = √..
Question: What is the real part of the complex number z = 5 - 4i?Options: 5-440Correct Answer: 5Solu..
Question: What is the value of |z| if z = 4 - 3i?Options: 5743Correct Answer: 5Solution: |z| = √(4^2..
Question: If z = re^(iθ), what is the value of z^2?Options: r^2e^(i2θ)re^(iθ)2re^(iθ)r^2e^(iθ)Correc..
Question: Find the value of (1 + i)^2.Options: 2i201Correct Answer: 2Solution: (1 + i)^2 = 1^2 + 2(1..
Question: If z = 1 + i√3, find the modulus of z.Options: 2√34√4Correct Answer: 2Solution: |z| = √(1^..
Question: What is the value of |z|^2 if z = 4 - 3i?Options: 2516712Correct Answer: 25Solution: |z|^2..
Question: If z = 1 + i, find z^3.Options: -2 + 2i2 + 2i01 + iCorrect Answer: -2 + 2iSolution: z^3 = ..
Question: Find the real part of the complex number z = 5 - 2i.Options: 5-220Correct Answer: 5Solutio..
Question: What is the conjugate of the complex number z = 2 + 5i?Options: 2 - 5i2 + 5i-2 + 5i-2 - 5i..
Question: Find the argument of the complex number z = -1 - i.Options: -3π/43π/4π/4-π/4Correct Answer..
Question: If z = 2 + 2i, find the value of z/z*.Options: 12i2iCorrect Answer: iSolution: z/z* = (2 +..
Question: What is the conjugate of the complex number z = 5 - 6i?Options: 5 + 6i5 - 6i6 - 5i6 + 5iCo..
Question: If z = 1 + i, find z^2.Options: 2i21 + 2i0Correct Answer: 1 + 2iSolution: z^2 = (1 + i)^2 ..
Question: Find the real part of the complex number z = 2 + 3i.Options: 2351Correct Answer: 2Solution..
Question: If z = 2e^(iπ/3), find the rectangular form of z.Options: 1 + √3i2 + 2i2 + √3i√3 + 1iCorre..
Question: What is the real part of the complex number z = 5 - 6i?Options: 5-6111Correct Answer: 5Sol..
Question: Find the value of (1 + i)^4.Options: 04816Correct Answer: 8Solution: (1 + i)^4 = (√2 e^(iπ..
Question: If z1 = 1 + i and z2 = 2 - i, find z1 * z2.Options: 3 + i3 - i2 + 3i2 - 3iCorrect Answer: ..
Question: If z = 2 + 3i, find the conjugate of z.Options: 2 - 3i3 - 2i-2 + 3i-3 - 2iCorrect Answer: ..
Question: What is the real part of the complex number z = 5e^(iπ/3)?Options: 5/25/√35√3/25Correct An..
Question: If z = 1 + i, find the value of z^4.Options: -4401Correct Answer: -4Solution: z^4 = (1 + i..
Question: If z1 = 2 + 3i and z2 = 4 - i, find z1 + z2.Options: 6 + 2i6 + 4i2 + 6i8 + 2iCorrect Answe..
Question: Find the value of z^2 if z = 1 + i.Options: 2i201Correct Answer: 2Solution: z^2 = (1 + i)^..
Question: If z = 1 + i, find z^4.Options: -4401Correct Answer: -4Solution: z^4 = (1 + i)^4 = 4i...
