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Quotient space (linear algebra) | Wikipedia audio article

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This is an audio version of the Wikipedia Article:
00:00:18 1 Definition
00:02:00 2 Examples
00:03:43 3 Properties
00:06:08 4 Quotient of a Banach space by a subspace
00:07:11 4.1 Examples
00:07:54 4.2 Generalization to locally convex spaces
00:09:16 5 See also
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Speaking Rate: 0.9559401732820989
Voice name: en-GB-Wavenet-D
"I cannot teach anybody anything, I can only make them think."
- Socrates
SUMMARY
=======
In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero. The space obtained is called a quotient space and is denoted V/N (read V mod N or V by N).
00:00:18 1 Definition
00:02:00 2 Examples
00:03:43 3 Properties
00:06:08 4 Quotient of a Banach space by a subspace
00:07:11 4.1 Examples
00:07:54 4.2 Generalization to locally convex spaces
00:09:16 5 See also
Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago.
Learning by listening is a great way to:
- increases imagination and understanding
- improves your listening skills
- improves your own spoken accent
- learn while on the move
- reduce eye strain
Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone.
Listen on Google Assistant through Extra Audio:
Other Wikipedia audio articles at:
Upload your own Wikipedia articles through:
Speaking Rate: 0.9559401732820989
Voice name: en-GB-Wavenet-D
"I cannot teach anybody anything, I can only make them think."
- Socrates
SUMMARY
=======
In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero. The space obtained is called a quotient space and is denoted V/N (read V mod N or V by N).