PLEASE, I NEED A DETAILED STEP-STEP PROCESS WITH EX- PLANATIONS TO THIS QUESTION. (I have no prior knowledge in Algebra, so be simple as much as possible for me.) THANK YOU Let E be any vector space over K and {u;}iel any family of vectors in E (the family could be in infinite). Let ug, ut be any two vectors in the family (s t) and let a E K be arbitrary. Show that Span(u, u}ie1) Span(ugau{u;}iel1) where I1 I\{s}. This means that one can add any multiple of any vector to any other vector in the family, and the spanning space does not change. Hence deduce that Span(w, u}ie) Span(ua, u}ie) Span(w, fu4}ieI) where w is any finite combination of the vectors in the family that contains us with a nonzero coefficient. (Here matrix and how the row space changes.) one should make connection to row operations of a

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.