Eliza T.

asked • 03/12/20

Vectors and Span: True or False

(a) The inverse of a rotation matrix [R^θ] is [R^−θ].

(b) If the vectors v1, v2, . . ., v3 are such that no two of these vectors are scalar multiples of each other then they must form a linearly independent set.

(c) The set containing just the zero vector, {0}, is a subspace of Rn .

(d) If v, w ∈ R3 then span(v, w) must be a plane through the origin.

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