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6 Nov 2019
In each part, determine whether the given vector is a linear combination of the elements of S. (a) (- 1, 1, 1, 2), S = {(1, 0, 1, - 1);(0, 1, 1, 1)} (b) - t^3 + 2t^2 + 3t + 3, S = {t^3 + t^2 + t + 1;t^2 + t + 1;t + 1} (c) (1 2 3 4), S = {(2 0 1 0);(0 1 1 1);(1 1 0 0)} Is the set of vectors {3 + t - t^2;5 + t + t^2;t + 4} a spanning set for P_2 (R) why? why not? Show transcribed image text
In each part, determine whether the given vector is a linear combination of the elements of S. (a) (- 1, 1, 1, 2), S = {(1, 0, 1, - 1);(0, 1, 1, 1)} (b) - t^3 + 2t^2 + 3t + 3, S = {t^3 + t^2 + t + 1;t^2 + t + 1;t + 1} (c) (1 2 3 4), S = {(2 0 1 0);(0 1 1 1);(1 1 0 0)} Is the set of vectors {3 + t - t^2;5 + t + t^2;t + 4} a spanning set for P_2 (R) why? why not?
Show transcribed image text Sixta KovacekLv2
29 Jun 2019