Question: a)| s the polynomial 1 + x2 a linear combination of1+xx2and x? b) Is the polynomial 1+x2 a linear combination of l+x and 1x? c)


a)| s the polynomial 1 + x2 a linear combination of1+xx2and x? b) Is the polynomial 1+x2 a linear combination of l+x and 1x? c) Is the function sinx a linear combination of the constant function 1 and cosx? d) Is the function sin2 x a linear combination of the constant function 1 and c052 x? e) If u, v and w are any vectors in a vector space V, is uv a linear combination of u, v and w? f) If u, v and w are any vectors in a vector space V, is w always a linear combination of u, v
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