(b) Find q if S is the basis in x2 + 1, x2 – 1, 2x – 1. (c) Find B if S is the basis in 3 -1 -12 1 В - ? ?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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LINEAR ALGEBRA #2

(b) Find
if S is the basis in x? + 1, x² – 1, 2.x – 1.
-1
(c) Find B if S is the basis in
-1
-12
1
2
B =
?
Transcribed Image Text:(b) Find if S is the basis in x? + 1, x² – 1, 2.x – 1. -1 (c) Find B if S is the basis in -1 -12 1 2 B = ?
Consider the coordinate vectors
[w]s =
[a]s
61
[B]s =
-2
4
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, x? – 1, 2x – 1.
Transcribed Image Text:Consider the coordinate vectors [w]s = [a]s 61 [B]s = -2 4 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, x? – 1, 2x – 1.
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