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]
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 12CM
Related questions
Question
Pls correct option with explanation. Thanksss.
![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
-
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 24 images
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage