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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
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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