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Title: Absolute Value, Conjugate, Argument
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Series: Start Learning Complex Numbers
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Parent Series: Start Learning Mathematics
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Chapter: Complex Numbers
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YouTube-Title: Start Learning Complex Numbers 3 | Absolute Value, Conjugate, Argument
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Forum: Ask a question in Mattermost
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Quiz: Test your knowledge
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Subtitle on GitHub: slc03_sub_eng.srt missing
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Download bright video: Link on Vimeo
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Download dark video: Link on Vimeo
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Related videos:
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: What is not correct for the absolute value (also called modulus) of complex numbers?
A1: $|z|^2 = \overline{z} z $
A2: $|z|^2 = \mathrm{Re}(z)^2 + \mathrm{Im}(z)^2 $
A3: $|z| \in \mathbb{R} $
A4: $|z| = \mathrm{Re}(z) + i \mathrm{Im}(z)$
Q2: What is not correct for every complex numbers $z,w \in \mathbb{C}$?
A1: $|i| = 1 $
A2: $\overline{i} = -i $
A3: $\overline{2} = 2$
A4: $\overline{z+ i w } = z - i w$
A5: $z + w = w + z$
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Last update: 2024-10
