A Drill book in Algebra

Cover A Drill book in Algebra
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what is the operator? why is this product concrete? 3. What does the product star x 7]i x n represent ? what the product star x ;^ x 7u ? How" do you know that these two products are equal ? Granting their equality, how does it follow that the two ab- stract products 711 X «, 71X7/1 are equal ? 4. In case (a) it is shown that the product of two abstract integers is the same, in whatever order the factors be taken; what relation does this truth bear to the complete theorem ? 5. What is the effec...t of the operator ni acting on a column of stars as a unit ? of the operator l/n acting on this product ? What is the final result of the two operations? 6. What is the effect of the operator l/n acting on a column of stars as a unit? of the operator /n acting on this product? What is the final result of the two operations? 7. What single fact proves that the two abstract products 7n X l/n, l/n x in are equal ? 8. Make a formal statement of the truth learned in case {h) as if it were a theorem by itself.

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