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The advanced algebra is the algebra develops the higher phase always to state, it including many branches.Now in the university opens the advanced algebra, includes two parts generally: Linear algebra preliminary, multinomial algebra. The advanced algebra in the elementary algebra foundation the object of study further expansion, has introduced many new concepts as well as with usually very not the same quantity, for instance most basic has the set, the vector and the vector space and so on.These measuring instruments have the sum similar operation characteristic, but studies method and operation method all even more complicated. The set has some kind of attribute thing all; The vector is except has the value also simultaneously to have the direction quantity; The vector space also calls the linear space, and is composed by many vectors conforms to certain specific operation rule set.In not only vector space operation object already number, but was the vector, its operation nature b