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Consider the vectors u-(1,0,0), v=(2,0,0),w=(0,1,0), z=(0,0,1). Select all true statements below O u.v.w.z are linearly independent one of u,v,w,z is in the span of the other three vectors Oz is in the span of u,v,w Ou,v,w.z span R³

Consider the vectors u-(1,0,0), v=(2,0,0),w=(0,1,0), z=(0,0,1). Select all true statements below O u.v.w.z are linearly independent one of u,v,w,z is in the span of the other three vectors Oz is in the span of u,v,w Ou,v,w.z span R³

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the vectors u=(1,0,0), v=(2,0,0),w=(0,1,0), z=(0,0,1). Select all true statements below O u.v.w.z are linearly independent one of u,v.w,z is in the span of the other three vectors Oz is in the span of u,v,w Ou,v,w.z span R³
Transcribed Image Text:Consider the vectors u=(1,0,0), v=(2,0,0),w=(0,1,0), z=(0,0,1). Select all true statements below O u.v.w.z are linearly independent one of u,v.w,z is in the span of the other three vectors Oz is in the span of u,v,w Ou,v,w.z span R³
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