Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 4 - Vector Spaces - 4.4 Spanning Sets - Problems - Page 284: 46

Answer

See below

Work Step by Step

Consider set $\{v_1,v_2\}$ where $v_1,v_2$ are nonzero and noncollinear vectors in $R^3$ Then we have $span\{v_1,v_2\}=\{av_1+bv_2 \forall a,b \in R\}$ Geometrically span $\{v_1,v_2\}$ is a plane through the origin determined by the given vectors $v_1$ and $v_2$
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