Problem

a. Two vectors are linearly dependent if and only if they lie on a line through the origin...

a. Two vectors are linearly dependent if and only if they lie on a line through the origin.

b. If a set contains fewer vectors than there are entries in the vectors, then the set is linearly independent.

c. If × and y are linearly independent, and if z is in Span {x, y}, then {x, y, z} is linearly dependent.

d. If a set in ℝn is linearly dependent, then the set contains more vectors than there are entries in each vector.

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Solutions For Problems in Chapter 1.7