Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:Problem 6. Define new addition and scalar multiplication operations and Ⓒ on R² by
(x, y) + (z, w) = (x+z,y+w),
a
(x, y) = (ax, y),
for all (x, y), (z, w) ≤ R² and a E
space over R? Justify your answer.
R. Does R2 with these operations form a vector
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We have given that addition and scalar multiplication operations and on with all and
We need to show that with respect to these operations form a vector space over
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