A First Course in Linear Algebra · Problem SS.M10

Vectors — Robert Beezer

Mathematics — Linear Algebra · span-geometry

Problem

Consider the set of all size 2 vectors in the Cartesian plane R2\mathbb{R}^2. 1. Give a geometric description of the span of a single vector. 2. How can you tell if two vectors span the entire plane, without doing any row reduction or calculation?

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