Question: Let g1, g, . . . , gm be linear functionals on a linear space X. For fixed numbers cj, the systems of equations gj(x)

Let g1, g, . . . , gm be linear functionals on a linear space X. For fixed numbers cj, the systems of equations
gj(x) = cj, j = 1, 2, . . . ,m
is consistent if and only if

for every set of numbers Î»1, Î»2, . . . , Î»m.

E9 = 0 =jej = 0

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