Mathematics, 22.03.2021 20:10 jayjay7773
Let λ be a real eigenvalue of a matrix with real entries A. Show that the set Vλ = {x : Ax = λx} is a subspace of R n . If you reduce your solution to a question about null spaces, be sure to include prove that null spaces are subspaces (but that’s fine if you want to do it that way so long as your argument is clear, and correct of course). Hint: check the definition of subspace.
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Let λ be a real eigenvalue of a matrix with real entries A. Show that the set Vλ = {x : Ax = λx} is...
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