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Suppose S = {u vector _1, u vector _2, ..., u vector _m} lessthanorequalto R^n, and let U = span (S). Prove that if A is an m times n matrix such that Au vector _i = 0 vector for all i, 1 lessthanorequalto i lessthanorequalto m, then Ax vector = 0 vector for all x vector Element U.
Suppose S = {u vector _1, u vector _2, ..., u vector _m} lessthanorequalto R^n, and let U = span (S). Prove that if A is an m times n matrix such that Au vector _i = 0 vector for all i, 1 lessthanorequalto i lessthanorequalto m, then Ax vector = 0 vector for all x vector Element U.
papayaprofessorLv10
12 Oct 2022
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