Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Problem 5. Let a E R" be fixed. Suppose that vectors x, y E R" are related by the equation а — х+ (x:у)у. (a) Show that ||a||² – ||x||² 2 + ||y||² - (x - y)? (b) Deduce that ||a|| > ||x||.
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Transcribed Image Text:Problem 5. Let a E R" be fixed. Suppose that vectors x, y E R" are related by the equation а — х+ (x:у)у. (a) Show that ||a||² – ||x||² 2 + ||y||² - (x - y)? (b) Deduce that ||a|| > ||x||.
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