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Explain why the following sets of vectors are not bases for the indicated vector spaces. (Solve this problem by inspection.) (a) uj = (1, 2), uz = (0, 3), u3 = (2, 7) for R2 (b) u = (-1, 3, 2), u2 = (6, 1, 1) for R (c) p1 =1+x+x², p2 =x – 1 for P2 (d) A= for Mn B= C= D= E =

Explain why the following sets of vectors are not bases for the indicated vector spaces. (Solve this problem by inspection.) (a) uj = (1, 2), uz = (0, 3), u3 = (2, 7) for R2 (b) u = (-1, 3, 2), u2 = (6, 1, 1) for R (c) p1 =1+x+x², p2 =x – 1 for P2 (d) A= for Mn B= C= D= E =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Explain why the following sets of vectors are not bases for the indicated vector spaces. (Solve this problem by inspection.) (a) uj = (1, 2), uz = (0, 3), u3 = (2, 7) for R2 (b) u = (-1, 3, 2), u2 = (6, 1, 1) for R (c) p1 =1+x+x², p2 =x – 1 for P2 (d) A= for Mn B= C= D= E =
Transcribed Image Text:Explain why the following sets of vectors are not bases for the indicated vector spaces. (Solve this problem by inspection.) (a) uj = (1, 2), uz = (0, 3), u3 = (2, 7) for R2 (b) u = (-1, 3, 2), u2 = (6, 1, 1) for R (c) p1 =1+x+x², p2 =x – 1 for P2 (d) A= for Mn B= C= D= E =
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