Linear Independence. Vector Components. Space Dimension
In developing the axiomatic system in the preceding chapters, we had in mind Euclidean spaces of three or fewer dimensions. The idea of space dimension, however, did not explicitly enter into our axiomatics and has been so far devoid of any specific meaning. In order to correct this omission, it is necessary to adjoin a new postulate to those already adopted. Before doing this in the next chapter, we have first to examine the closely related concept of linear independence of vectors.
KeywordsSpace Dimension Axiomatic System Zero Vector Independent Vector Preceding Equation
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