![Chapter_1[1] Chris M](http://s1.studyres.com/store/data/008473714_1-206409df0e6d8143b6f8036e4a905e65-300x300.png)
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... into a division algebra. Since N (x) ≥ 0 for any p x ∈ O, we can define a non-negative real-valued function k·k on O by kxk = N (x). This is clearly well-defined and kxk = 0 iff x = 0. In addition, it is not hard to see that, for any r ∈ R and x ∈ O, krxk = |r|kxk, and that k·k satisfies the triangu ...
... into a division algebra. Since N (x) ≥ 0 for any p x ∈ O, we can define a non-negative real-valued function k·k on O by kxk = N (x). This is clearly well-defined and kxk = 0 iff x = 0. In addition, it is not hard to see that, for any r ∈ R and x ∈ O, krxk = |r|kxk, and that k·k satisfies the triangu ...
Student Handout
... In Problem 2, you explored the affect of multiplying an equation by a constant and found that (although it may change the appearance) it does not change the equality relationship that existed in the original equation. In this problem, an additional linear equation is introduced to form a system of t ...
... In Problem 2, you explored the affect of multiplying an equation by a constant and found that (although it may change the appearance) it does not change the equality relationship that existed in the original equation. In this problem, an additional linear equation is introduced to form a system of t ...
1.4 Write Equations and Inequalities
... 1.4 Write Equations and Inequalities Objective: Translate verbal sentences into equations or inequalities ...
... 1.4 Write Equations and Inequalities Objective: Translate verbal sentences into equations or inequalities ...