Check whether the following inner product < , > defined by < a, ß >= x1yı + 2x1Y2 + 2x2Y1 + 5x2Y2, where a = (x1, x2) and B = V1.Y2) %3D is an inner product in R2 or not? Justify your answer.
Check whether the following inner product < , > defined by < a, ß >= x1yı + 2x1Y2 + 2x2Y1 + 5x2Y2, where a = (x1, x2) and B = V1.Y2) %3D is an inner product in R2 or not? Justify your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Check whether the following inner product <, > defined by <alpha,beta>=x1y1 + 2x1Y2 + 2x2y1 +5x2y2, where a = (x1,x2) and B = (y1,y2) is an inner product in R or not? Justify your answer.
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