Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

With the given operations, is R2 a vector space? Why or why not?

Rather than use the standard definitions of addition and scalar multiplication in R2,let these two operations be defined as shown below. (x1, Yı) + (x2, Y2) = (¤1+ x2, Y1 + Y2) c(x, y) = (cx, y)
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Transcribed Image Text:Rather than use the standard definitions of addition and scalar multiplication in R2,let these two operations be defined as shown below. (x1, Yı) + (x2, Y2) = (¤1+ x2, Y1 + Y2) c(x, y) = (cx, y)
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