Show linear dependence or independence. Show all steps
algebraically.
a. let v1= < x1, x2, ... , xn > and v2 = < y1, y2, ...
, yn > be vectors in R^n with v1 not equal to 0. Prove that v1
and v2 are linearly dependent if and only if v1 is a non-zero
multiple of v2.
b. Suppose v1, v2, and v3, are linearly independent vectors in a
vector space V. Show that w1, w2, w3, are linearly...