Proposition: Let A and B mxn matrices. Also, let AX=Y and BX=Y be equivalent systems of linear equations. Then, A’=B’ where
Monthly Archives: November 2020
Fifth axiom of vector spaces can be slightly changed
Let S be a Vector Space which consists of V (set of vectors) and F (field). Fifth axiom of vector spaces states that 1∗α=α where 1 ∈ F and α ∈ V. We can change this axiom as follows; there is an element, b, in F such that b*α=α Now, we can prove that for …
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