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Suppose v is an interior multiplication space with finite dimension. We represent the function that attributes its orthogonal image x to each element y with E. The function E: V → W is called the orthogonal image V on W. Show that: A) E is a linear function. B) E2 = E C)V = W OW!

Suppose v is an interior multiplication space with finite dimension. We represent the function that attributes its orthogonal image x to each element y with E. The function E: V → W is called the orthogonal image V on W. Show that: A) E is a linear function. B) E2 = E C)V = W OW!

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose v is an interior multiplication space with finite dimension. We represent the function that attributes its orthogonal image x to each element y with E. The function E:V → W is called the orthogonal image V on W. Show that: A) E is a linear function. B) E2 = E C)V = W O W
Transcribed Image Text:Suppose v is an interior multiplication space with finite dimension. We represent the function that attributes its orthogonal image x to each element y with E. The function E:V → W is called the orthogonal image V on W. Show that: A) E is a linear function. B) E2 = E C)V = W O W
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