Consider the coordinate vectors -91 8 6 [w]s = -3 = 2, [B]s 7 = 6 2 2 (a) Find w if S is the basis in {(3, 1, -4), (2, 5, 6), (1, 4, 8)}. w= (,,) (b) Find q if S is the basis in x² + 1, x²-1, 2x - 1. q= (c) Find B if S is the basis in 0 B = () 3 6 _ ] [ 0 0 -12 [12]
Consider the coordinate vectors -91 8 6 [w]s = -3 = 2, [B]s 7 = 6 2 2 (a) Find w if S is the basis in {(3, 1, -4), (2, 5, 6), (1, 4, 8)}. w= (,,) (b) Find q if S is the basis in x² + 1, x²-1, 2x - 1. q= (c) Find B if S is the basis in 0 B = () 3 6 _ ] [ 0 0 -12 [12]
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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![Consider the coordinate vectors
8
[w]s
=
-3
2
-9
6
2, [B]s
7
=
6
2
(a) Find w if S is the basis in {(3, 1, -4), (2, 5, 6), (1, 4, 8)}.
w=
(,,)
(b) Find q if S is the basis in x² + 1, x² - 1, 2x - 1.
q=
(c) Find B if S is the basis in
0
B
=
(H)
3
6
-
_ ] [
0
0
-12
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3639eaa1-aac8-4e93-b488-723c280f85c7%2Ff5671601-8808-4b55-88d3-5363d62c1ee8%2Fx1k95ms_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the coordinate vectors
8
[w]s
=
-3
2
-9
6
2, [B]s
7
=
6
2
(a) Find w if S is the basis in {(3, 1, -4), (2, 5, 6), (1, 4, 8)}.
w=
(,,)
(b) Find q if S is the basis in x² + 1, x² - 1, 2x - 1.
q=
(c) Find B if S is the basis in
0
B
=
(H)
3
6
-
_ ] [
0
0
-12
-
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