MHB What Should Computer Science Majors Expect from Linear Algebra?

suluclac
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Computer science major here.
I recently completed calculus I, II, III. Now I know that I'll probably be required to take linear algebra.
So far, I expect to do some Gaussian elimination (assuming I know what a row echelon is).
What else should I expect from linear algebra?
 
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You should get vector spaces, change of basis, and eigenvalues and eigenvectors. Linear Algebra is by far one of the most useful courses ever, particularly if you take quantum mechanics soon after.
 
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Hello ! I derived equations of stress tensor 2D transformation. Some details: I have plane ABCD in two cases (see top on the pic) and I know tensor components for case 1 only. Only plane ABCD rotate in two cases (top of the picture) but not coordinate system. Coordinate system rotates only on the bottom of picture. I want to obtain expression that connects tensor for case 1 and tensor for case 2. My attempt: Are these equations correct? Is there more easier expression for stress tensor...
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