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LetV={(x1,x2)∣x1,x2∈ℝ}bethesetoforderedpairsofrealnumbers.SupposeinVthatvectora...
Let V={(x1,x2)∣x1,x2∈ℝ} be the set of ordered pairs of real numbers. Suppose in V that vector addition is defined by x+y=(a1x1+b1y1,a2x2+b2y2) for all x=(x1,x2),y=(y1,y2)∈V, and a1,a2,b1,b2 some fixed real numbers; and scalar multiplication by cx=(cx1,cx2) for all x=(x1,x2)∈V and c∈ℝ.
For what values of a1,a2,b1,b2 is V a vector space? 展开
For what values of a1,a2,b1,b2 is V a vector space? 展开
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