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Miloslav Ciz 2023-04-06 22:43:02 +02:00
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linear_algebra.md
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In [mathematics](math.md) linear algebra is an extension of the classical elemental algebra (which means the basic "operations with numbers/variables") to [vectors](vector.md) and [matrices](matrix.md) (kind of "operations with arrays of numbers"). It is a basic tool of advanced mathematics and [computer science](computer_science.md) (and many other sciences) and at least at the very basic level should be known by every [programmer](programmer.md).
Why is it called *linear* algebra? Basically because it deals with [linear equations](linear.md) which is kind of about proportionality, function plots being lines etc. A mathematician will probably puke at this explanation but it gives some intuition :) See also [linearity](linearity.md).
Why is it called *linear* algebra? It is related to the concept of [linearity](linearity.md) which kind of has to do with "dealing with straight lines" (NOT curved ones), i.e. the results we get in linear algebra are more abstract equivalents of "straight lines", e.g. planes and hyperplanes, though this may be hard too see due to all the abstraction and higher dimensionality. { The concept of linearity has several possibly incompatible definitions and is kinda confusing (for example in whether the lines always have to pass through the origin). I was actually looking up "why is it called LINEAR algebra" and the above explanation is how I understood the answers I found. ~drummyfish }
## Basics