- 4 Define B P1 P2 P3 P4 C P2 Via P1 X X2 1 P2 X X2 1 P3 X 2x 1 P4 X X X2 A Is B Linear 1 (17.38 KiB) Viewed 43 times
4. Define B= = {P1, P2, P3, P4} C P2 via p1(x) = x2 + 1, p2(x) = x2 – 1, p3(x) = 2x – 1, p4(x) = x + x2. (a) Is B linear
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4. Define B= = {P1, P2, P3, P4} C P2 via p1(x) = x2 + 1, p2(x) = x2 – 1, p3(x) = 2x – 1, p4(x) = x + x2. (a) Is B linear
4. Define B= = {P1, P2, P3, P4} C P2 via p1(x) = x2 + 1, p2(x) = x2 – 1, p3(x) = 2x – 1, p4(x) = x + x2. (a) Is B linearly independent? (b) Does B span P2? (c) Is B a basis for P2?
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