2) Suppose you have determined a base u for the plane x+2y+z=0 (The plane is therefore a plane in R3) Which of the following applies? A: The base u is a base for R3 B: Adding exactly one vector to the base u gives a base for R3 C: Adding all the vectors in the default base u to the base gives a base for R3 D: Adding exactly two vectors to the base u gives a base for R3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2) Suppose you have determined a base u
for the plane x+2y+z=0 (The plane is
therefore a plane in R3) Which of the
following applies?
A: The base u is a base for R3
B: Adding exactly one vector to the base u
gives a base for R3
C: Adding all the vectors in the default
base u to the base gives a base for R3
D: Adding exactly two vectors to the base
u gives a base for R3.
Transcribed Image Text:2) Suppose you have determined a base u for the plane x+2y+z=0 (The plane is therefore a plane in R3) Which of the following applies? A: The base u is a base for R3 B: Adding exactly one vector to the base u gives a base for R3 C: Adding all the vectors in the default base u to the base gives a base for R3 D: Adding exactly two vectors to the base u gives a base for R3.
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