MHB Looking for Linear Algebra Practice Problems?

matqkks
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Are there any resources consisting of a collection of problems on linear algebra for students to practice? I am looking for good interesting problems which test students’ understanding. These questions or examples should be for teaching rather than just testing. The level of difficulty is first year undergraduate.
 
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matqkks said:
Are there any resources consisting of a collection of problems on linear algebra for students to practice? I am looking for good interesting problems which test students’ understanding. These questions or examples should be for teaching rather than just testing. The level of difficulty is first year undergraduate.

Hi matqkks, :)

I used Theory and Problems of Linear Algebra by S. Lipschistz when I was doing an introductory linear algebra course. It has lots of solved problems.
 
matqkks said:
Are there any resources consisting of a collection of problems on linear algebra for students to practice? I am looking for good interesting problems which test students’ understanding. These questions or examples should be for teaching rather than just testing. The level of difficulty is first year undergraduate.

Hi matqkks,

There is a new website that has a large number of solved problems in Linear Algebra. It shows full solution steps, and also provides relevant definitions and theorems with the solutions.you can drill down to deeper levels of detail if you wish. Also, you can customize thevproblem by plugging in your own specific values for the particular problem and the website will provide you with a solution to it. The website is Exdraft - University math is easy. You just need to see the pattern. It's free to sign up.

Rosemarie
 
The world of 2\times 2 complex matrices is very colorful. They form a Banach-algebra, they act on spinors, they contain the quaternions, SU(2), su(2), SL(2,\mathbb C), sl(2,\mathbb C). Furthermore, with the determinant as Euclidean or pseudo-Euclidean norm, isu(2) is a 3-dimensional Euclidean space, \mathbb RI\oplus isu(2) is a Minkowski space with signature (1,3), i\mathbb RI\oplus su(2) is a Minkowski space with signature (3,1), SU(2) is the double cover of SO(3), sl(2,\mathbb C) is the...
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