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I don't know what the quotation author meant. Exterior algebra has definitely been well understood and frequently used tool in 20th century.

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You are most likely right, but it is still kind of a niche. If you take a look at curriculum of Computer Science studies it is pretty non-present. From what I know Exterior / Geometric Algebra is superior in many ways to Linear Algebra: first it is backwards compatible and second (apparently) it is much more intuitive. But still Linear Algebra is pretty standard.

Exterior algebra is not particularly useful in Computer Science, and that's probably it's non-present. There are other things competing for place in curriculum, and they probably deserve it more.

Exterior algebra is not any more superior to linear algebra than multiplication is superior to addition. Both are important, there are important connections between the two, and you definitely need to understand addition first before you understand multiplication.

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