403/503 – HW5

Show that affine spaces are closed under affine combinations, that is: If C is an affine space, n is any positive integer, c_1,\dots,c_n are any vectors in C, and r_1,\dots,r_n are any reals such that

r_1+\dots+r_n=1,

then r_1c_1+\dots+r_nc_n\in C.

(Due February 2 at the beginning of lecture.)

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