Complex & Imaginary Numbers PDF

Summary

These notes are about Imaginary and Complex Numbers. They cover topics such as the definition of i, powers of i, addition, subtraction, multiplication, and division of complex numbers. The notes include examples and practice questions.

Full Transcript

Imaginary Numbers Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers The number i Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers The number i 1. – !" = 2. (– !)(!") = 3. – !" = 4. – !" = 5....

Imaginary Numbers Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers The number i Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers The number i 1. – !" = 2. (– !)(!") = 3. – !" = 4. – !" = 5. – !"! = Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers The number i Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Powers of i Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Powers of i Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Powers of i Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Powers of i Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Real Part Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Imaginary Part Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Addition & Subtraction Add like terms: Real parts with real parts. Imaginary parts with imaginary parts. Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Addition & Subtraction Add like terms: Real parts with real parts. Imaginary parts with imaginary parts. Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Addition & Subtraction Add like terms: Real parts with real parts. Imaginary parts with imaginary parts. Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Addition & Subtraction Add like terms: Real parts with real parts. Imaginary parts with imaginary parts. Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Addition & Subtraction Add like terms: Real parts with real parts. Imaginary parts with imaginary parts. Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Multiplication Treat i as a variable. Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Multiplication Treat i as a variable. ! + ! ! − !" ! !" − !"# + !" − !! ! !" − !!" − !! !" − !!" − (−!) !" − !!" Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Multiplication Treat i as a variable. ! + ! ! − !" ! !" − !"# + !" − !! ! !" − !!" − !! !" − !!" − (−!) !" − !!" Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Division Multiply the numerator and denominator by the complex conjugate of the denominator. Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Division Multiply the numerator and denominator by the complex conjugate of the denominator. Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Division Multiply the numerator and denominator by the complex conjugate of the denominator. Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Division Multiply the numerator and denominator by the complex conjugate of the denominator. ! + !"# + !" + !"!! ! − !!" ! Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Division Multiply the numerator and denominator by the complex conjugate of the denominator. ! + !"# + !" + !"!! = !!"! to E-SKUL NG BAYAN on YouTube. ! − Subscribe Complex and Imaginary Numbers Division Multiply the numerator and denominator by the complex conjugate of the denominator. ! + !"# + !" + (−!") = ! − (−!") Subscribe to E-SKUL NG BAYAN on YouTube. Complex and Imaginary Numbers Division Multiply the numerator and denominator by the complex conjugate of the denominator. Subscribe to E-SKUL NG BAYAN on YouTube.

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