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(&.92t V={p(x)/p(x)=i=00cxi,p(a)=0} be set of all polynomials of degree less than or equal to 5 with a as its root with usual scalar multiplication and
(\&.92t V={p(x)/p(x)=i=00cxi,p(a)=0} be set of all polynomials of degree less than or equal to 5 with a as its root with usual scalar multiplication and polynomial addition. Is V a vector space? Justify. If yes, find a basis for V (b) Let V={AM22(R)/A1 exists } be set of all invertible real matrices of order 2 with usual scalar multiplication and matrix addition. Is V a vector space? Justify. (c) If we replace matrix addition by matrix multiplication in the above set, is V a vector space? Justify. [3 Marks]
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