Screenshot from my Youtube video:

Whenever a student wonders why linear algebra, matrices, and vectors are important, the response from teachers usually sounds like this:

“Matrices are important because they are used everywhere, such as in smartphone technology, GPS, quantum mechanics, robotics, statistics, artificial intelligence, etc.”

This response is true, but I find it unsatisfying and incomplete. This line of reasoning is inductive, but I want something deductive. You could list hundreds of practical uses for linear algebra, but no matter how long you make that list you won’t be able to unravel the true nature of these mysterious number structures.

After thinking about and…

Justin Ting

Effective Eccentric Eclectic Electrical Engineer

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