Consider the coordinate vectors 7 (w]s (als = 0, B)s -3 %3D %3D 4. 2 3 4 (a) Find w if S is the basis in {(3, 1,-4), (2, 5, 6), (1, 4, 8)}. w = (?, ?, ?) W 3= (b) Find q if S is the basis in a2 +1, a2- 1, 2r 1. 3 6. 0. -8 (c) Find B if S is the basis in 3 - 12 -4 B = ......
Consider the coordinate vectors 7 (w]s (als = 0, B)s -3 %3D %3D 4. 2 3 4 (a) Find w if S is the basis in {(3, 1,-4), (2, 5, 6), (1, 4, 8)}. w = (?, ?, ?) W 3= (b) Find q if S is the basis in a2 +1, a2- 1, 2r 1. 3 6. 0. -8 (c) Find B if S is the basis in 3 - 12 -4 B = ......
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 46EQ
Related questions
Question
Solve b
![Consider the coordinate vectors
6.
7
[w]s
, (als
0, [Bs
4.
-3
%3D
%3D
3
(a) Find w if S is the basis in {(3, 1, -4), (2,5, 6), (1, 4, 8)}.
W 3=
(?, ?, ?)
(b) Find q if S is the basis in a2+ 1, a2 - 1, 2x - 1.
3
(c) Find B if S is the basis in
6.
0.
3
12
-4
-1
B =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68d332a6-3f5b-4389-bc95-1c0bf7709c3e%2F8891eb2e-2462-4f5b-a27d-3817995a82cd%2Fdqees3i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the coordinate vectors
6.
7
[w]s
, (als
0, [Bs
4.
-3
%3D
%3D
3
(a) Find w if S is the basis in {(3, 1, -4), (2,5, 6), (1, 4, 8)}.
W 3=
(?, ?, ?)
(b) Find q if S is the basis in a2+ 1, a2 - 1, 2x - 1.
3
(c) Find B if S is the basis in
6.
0.
3
12
-4
-1
B =
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