{; then (w]s =: -2 E V, 3. e v. a. if B = and v = 3 5 O b. if. B = {² + 1, x – 1, 2æ + 2} and 2 5 2a? + 6x + 13 e V, then [v]B = 17 4 c. if. B = {1, sen(2æ), sen² (x)} and v = cos(2æ) E V, then [v]s = d. if. B = {(2, 1, 0, 1), (–1, 1, 2, 1)} and v = (5, 1, –2, 1) e V then [u]s =:

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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Question

Consider a basis B of the vector space V given in each item. Choose the item where the coordinates make v ∈ V with respect to base B is incorrect.

Choose an option:

 

{;
then (w]s =:
-2
E V,
3.
e v.
a.
if B =
and v =
3
5
O b. if. B = {² + 1, x – 1, 2æ + 2} and
2
5
2a? + 6x + 13 e V, then [v]B =
17
4
c. if. B = {1, sen(2æ), sen² (x)} and v = cos(2æ) E V, then
[v]s =
d. if. B = {(2, 1, 0, 1), (–1, 1, 2, 1)} and v = (5, 1, –2, 1) e V
then [u]s =:
Transcribed Image Text:{; then (w]s =: -2 E V, 3. e v. a. if B = and v = 3 5 O b. if. B = {² + 1, x – 1, 2æ + 2} and 2 5 2a? + 6x + 13 e V, then [v]B = 17 4 c. if. B = {1, sen(2æ), sen² (x)} and v = cos(2æ) E V, then [v]s = d. if. B = {(2, 1, 0, 1), (–1, 1, 2, 1)} and v = (5, 1, –2, 1) e V then [u]s =:
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