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Read the following problem and its solution. ANSWER THE QUESTIONS THAT FOLLOW IN COMPLETE SENTENCES AND PROVIDE THE CORRECT UNITS WHEREVER NECESSARY. EQUATIONS ARE NOT

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Read the following problem and its solution. ANSWER THE QUESTIONS THAT FOLLOW IN COMPLETE SENTENCES AND PROVIDE THE CORRECT UNITS WHEREVER NECESSARY. EQUATIONS ARE NOT REQUIRED. Evaluate the complex number z = pz1 + q22 - p x q for p = 3, q = -1, 21 = 1 + i, 22 = 2 - i. Solution: If we set p = 3, q = -1, 21 = 1 + i, z2 = 2 - i in the given equation, we have z = pz1 + qz2 - p x q = 3(1 + i) + (-1)(2-2) -3x (-1) =3+3i - 2+i - (-3) = 4+4i Now answer the following question(s). 1. What are imaginary numbers? Identify whether the following numbers are real or imaginary. a. -25 b. 9 c. 3 d. -121 2. Define: Complex Number. What is the general form of a complex number? Define the variables in the general form if any. 3. What is the value of i? ? 4. What are the operations used in the given problem? Can Complex numbers be operated on by addition and Subtraction? 5. What is the simple rule/formula that applies to multiplication of a complex number by a real number

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