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Title: Definition
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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 2 | Definition
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Bright video: Watch on YouTube
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Dark video: Watch on YouTube
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Ad-free video: Watch Vimeo video
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Original video for YT-Members (bright): Watch on YouTube
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Original video for YT-Members (dark): Watch on YouTube
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Forum: Ask a question in Mattermost
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Quiz: Test your knowledge
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Dark-PDF: Download PDF version of the dark video
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Print-PDF: Download printable PDF version
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Thumbnail (bright): Download PNG
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: slc02_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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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: If we ignore the multiplication on $\mathbb{C}$, can we see say $\mathbb{C}$ is given by $\mathbb{R^2}$?
A1: Yes.
A2: No.
Q2: What is the product of the two complex numbers $a + i b$ and $a - i b$?
A1: $a^2 + b^2$
A2: $a^2 - b^2$
A3: $a^2 - i b^2$
A4: $i a^2 - b^2$
Q3: Can we define $z < w $ for two complex numbers $ z, w \in \mathbb{C}$?
A1: Yes, one can define such an order but it will not have the nice properties like we have them in $\mathbb{R}$.
A2: No, it’s not possible.
A3: No, one can only define $z \leq w$.
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Last update: 2024-10
