- #1
Miike012
- 1,009
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Let V be the set of all ordered pairs of real numbers, and consider the following addition and scalar multiplication operations on u = (u1,u2) and v = (1,v2)
u + v = (u1+v1 ,u2+v2)
ku = ( 0 , ku2)
The book says that the axiom -u + u = 0 holds true for the given addition and scalar mult.
Which it obviously does not by the given scalar mult...
Hence: u + (-u) = (u1,u2) + (0,-u2) = (u1,0) ≠ 0.
Am I right or wrong?
u + v = (u1+v1 ,u2+v2)
ku = ( 0 , ku2)
The book says that the axiom -u + u = 0 holds true for the given addition and scalar mult.
Which it obviously does not by the given scalar mult...
Hence: u + (-u) = (u1,u2) + (0,-u2) = (u1,0) ≠ 0.
Am I right or wrong?