give a counterexample. In each case, w / 0. (a) If u w = v w...
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give a counterexample. In each case, w / 0. (a) If u w = v w holds, then u = v. (b) If u xw=vx w holds, then u = v. (c) If u w = v. w and uxw = v x w both hold, then u = v. Hint for (c): You can rewrite u w = v w as (u-v) w = 0. What does this tell you about u-v? Similarly, you can rewrite uxw=vxw as (u-v) xw = 0. What does this tell you about u-v? How can both things be true at the same time? give a counterexample. In each case, w / 0. (a) If u w = v w holds, then u = v. (b) If u xw=vx w holds, then u = v. (c) If u w = v. w and uxw = v x w both hold, then u = v. Hint for (c): You can rewrite u w = v w as (u-v) w = 0. What does this tell you about u-v? Similarly, you can rewrite uxw=vxw as (u-v) xw = 0. What does this tell you about u-v? How can both things be true at the same time?
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a Counterexample for a Let u ab v a and w b Then u wvw abb but u v b Counterexample for b Le... View the full answer
Related Book For
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
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