A First Course in Linear Algebra · Problem SS.M11

Vectors — Robert Beezer

Mathematics — Linear Algebra · span-geometry

Problem

Consider the set of all size 3 vectors in Cartesian 3-space R3\mathbb{R}^3. 1. Give a geometric description of the span of a single vector. 2. Describe the possibilities for the span of two vectors. 3. Describe the possibilities for the span of three vectors.

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