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[University Linear Algebra] Subspace problem
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CrazedBotanist is
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University Linear Algebra
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A is a 2X2 matrix and the system A(x,y) = (3,5) has infinitely many solutions. Call the collection of all solutions W. Test W for all the four requirements of being a subspace of R2. Do this problem in general. Do not look at one example.
The (x,y) and (3,5) are in the regular vertical form I just couldn't get the latex plugin to work right. I know what properties to test to see if something is a subspace, but I have no idea how to get W.
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