Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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段階的に解決し、 人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE AI | DON'T USE AI DON'T USE AI DON'T USE AI Show that if a, b, c ER then: (a) a-b=-(b-a). (b) (a+b)(a-b)-a(a-b)+b(b-a) = 0. (c) a.b=0⇔a=0o6=0. (d) (-a)(c-d) = ad-ac.
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Transcribed Image Text:段階的に解決し、 人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE AI | DON'T USE AI DON'T USE AI DON'T USE AI Show that if a, b, c ER then: (a) a-b=-(b-a). (b) (a+b)(a-b)-a(a-b)+b(b-a) = 0. (c) a.b=0⇔a=0o6=0. (d) (-a)(c-d) = ad-ac.
Expert Solution
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Step 1: Proof the first part (a)

To prove 

a minus b equals negative left parenthesis b minus a right parenthesis L. H. S equals a minus b T h e n space R. H. S equals negative left parenthesis b minus a right parenthesis equals negative b minus left parenthesis negative a right parenthesis equals negative b plus a equals a minus b T h u s space a minus b equals negative left parenthesis b minus a right parenthesis space space a comma b element of space R.

Hence proved.

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