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Results tagged with linear-algebra
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user 25897
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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Is the trivial solution the only solution? [closed]
Let n be a positive integer, and c_1, c_2, ... c_n be (unkown) real numbers .
Consider the system
$$c_1+c_2+ ... +c_n=0,$$
$$c_1^2+c_2^2+ ... +c_n^2=0,$$
$$c_1^3+c_2^3+ ... +c_n^3=0,$$
$$.... ... …
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