Show that the set { 159 is linearly independent
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- Determine whether the set S={2x+x2,8+x3,x2+x3,4+x2} spans P3.Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)Determine whether or not the set is linearly independent over Zg.
- Determine whether the set in P_2 is linearly independent. S={x^2 , +1, 2 - 1, 2}Our aim is to write the gcd(200,113) as a linear combination of 200 and 113. By writing gcd(200,113) =200s+113t, we get * O gcd(200,113)=1 and t=-23 O gcd(200,113)=1 and t=13 gcd(200,113)=1 and t=23 O gcd(200,113)=1 and t=-13 None of theseDetermine whether each set {p1,p2} is a linearly independent set in P^3. 1) the polynomials p1(t)=2t-4t^2 and p2(t)=6t^2-3t