Consider the vectors in R, U = (1, -2,5), Find the dimension of V= span(U, U2,...

 

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Consider the vectors in R, U = (1, -2,5), Find the dimension of V= span(U, U2, U3). U=(3, 1, 1) and U3=(4,-1,6). (b) Consider the following vectors in P2, the space of polynomials of degree at most two: p(x) = (x-1), g(x)=x, r(x) = x + 1. Is the polynomial r(r) in span(p(z), q(z))? (c) For which values of A are the vectors V, V2, V3 linearly independent, if V = (X, 1, 1), V2 = (1, A, 1), V3 = (1, 1, A). Consider the vectors in R, U = (1, -2,5), Find the dimension of V= span(U, U2, U3). U=(3, 1, 1) and U3=(4,-1,6). (b) Consider the following vectors in P2, the space of polynomials of degree at most two: p(x) = (x-1), g(x)=x, r(x) = x + 1. Is the polynomial r(r) in span(p(z), q(z))? (c) For which values of A are the vectors V, V2, V3 linearly independent, if V = (X, 1, 1), V2 = (1, A, 1), V3 = (1, 1, A).