Show that if u1 , u2, u3, u4 are linearly
independent vectors in a vector space V over
a field K, then u 1+ u2, u3— u4, u4+ u1 are
also linearly independent.
1
Expert's answer
2020-11-19T17:10:51-0500
Given "V" is a vector space over the field "K" .
"u_1,u_2,u_3,u_4" are linearly independent"(L.I)" vectors in "V" .
Now, let for all "a,b,c\\in K" , consider the linear combination
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