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Study Resources (Algebra)

Let A be a matrix with eigenvalues \(\lambda1,\lambda2.\) Suppose \(\lambda1 not= \lambda2\) and the vector v1 and v2 are eigenvectors corresponding to the eigenvalues \(\lambda1, \lambda2 \) respectively. Prove that the vectors v1,v2 are linear independent. must prove from scratch not by appealing a general theorm can.
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Let (A, lessthanorequalto a) and (B, lessthanorequalto b) be order-isomorphic partially ordered sets. Let y and x isinv A. Then y is the immediate successor (resp. immediate predecessor) of x in A if and only if f(y) is the immediate successor (resp. immediate predecessor) of f(x) in B. Let .
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