Matrices are a useful way to represent, manipulate and study linear maps between finite dimensional vector spaces (if you have chosen basis).
Matrices can also represent quadratic forms (it's useful, for example, in analysis to study hessian matrices, which help us to study the behavior of critical points).
So, it's a useful tool of linear algebra.
Moreover, linear algebra is a crucial tool in math.
To convince yourself, there are a lot of linear problems you can study with little knowledge in math. For examples, system of linear equations, some error-correcting codes (linear codes), linear differential equations, linear recurrence sequences...
I also think that linear algebra is a natural framework of quantum mechanics.
manpreet![Tuteehub forum best answer]()
Best Answer
2 years ago
I have matrices for my syllabus but I don't know where they find their use. I even asked my teacher but she also has no answer. Can anyone please tell me where they are used? And please also give me an example of how they are used?