Show that V is not a vector space over R under the (x,y) +(z,t)= (x+z,y+t) and α(x,y)= (α²x, α²y)

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Show that V is not a vector space over R under (x,y) +(z,t)= (x+z,y+t) and α(x,y)= (0, αy) Show that V is not a vector space over R under (x,y) +(z,t)= (x+z,y+t) and α(x,y)= (0, αy)
Show that V is not a vector space over R under (x,y) +(z,t)= (x+z,y+t) and α(x,y)= (αx, y) Show that V is not a vector space over R under (x,y) +(z,t)= (x+z,y+t) and α(x,y)= (αx, y)
Show that V is not a vector space over R under the (x,y) +(z,t)= (0,y+t) and α(x,y)= (αx, αy) Show that V is not a vector space over R under the (x,y) +(z,t)= (0,y+t) and α(x,y)= (αx, αy)
V={(x,y)}Show V is not vector space defined(x,y)+(z,t)=(x+z,y+t)and alpha(x,y)=(alpha^2x,alpha^2y) V={(x,y)}Show V is not vector space defined(x,y)+(z,t)=(x+z,y+t)and alpha(x,y)=(alpha^2x,alpha^2y)
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