Q-2: Determine whether the set of all triples of real numbers with standard vector addition but with the scalar multiplication defined by k(x, y,=)=(k°x,k'y,k²=) is a vector space. In case of not a vector space, identify the vector space axioms that fail. (b) Determine whether all the vectors of the form (a,0,0) are subspaces of R'. (c) Determine whether the vectors v, = (-3,0,4), v, = (5,-1,2) and v, = (1,1,3) are linearly independent or linearly dependent in R'.

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Q: (H) {| R uzayı 2)

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Q: Let ?1 = (4 3 2 1), ?2 = (−2 0 -1 0), ?3 = (0 3 0 1) a) Find the subspace of R^4 spanned by these…

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A: The given vectors are: v1=4, 3, 2, 1, v2=-2, 0, -1, 0 and v3=0, 3, 0, 1 The subspace W spanned by…