Transformations (Leaving Cert Mathematics): Flashcards

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Transformations
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Complex plane: real part as coordinate?

xx-coordinate

Complex plane: imaginary part as coordinate?

yy-coordinate

Geometric effect of adding complex numbers

Shifts position in complex plane

Effect of multiplying by scalar kk

Expands or compresses magnitude

Effect of 2z12z_1 on magnitude

Doubles it

Conjugate transformation effect

Flips across real axis

Multiplying by ii effect

Rotates 90circ90^circ anticlockwise

Multiplying by −i-i effect

Rotates 90circ90^circ clockwise

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