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(Solved): Let is an 2x3 matrix with entries in R. Show that V satisfies the following two vector space axioms ...
Let is an 2x3 matrix with entries in R. Show that V satisfies the following two
vector space axioms over R.
VS2. (vec(x)+vec(y))+vec(z)=vec(x)+(vec(y)+vec(z)).
VS7. a(vec(x)+vec(y))=avec(x)+avec(y).
Let is a polynomial with coefficients in a field F. Show that V satisfies
the following two vector space axioms over F .
VS1. vec(x)+vec(y)=vec(x)+vec(y).
VS7. a(vec(x)+vec(y))=avec(x)+avec(y).