3) Let C be a basis that contains vectors (1 + (-1) x + 1x² + 1x³), (1 + 2x + 2x² + (−1) x³), (1 + (-1) x + 2 and [x] B = Then : X = 1

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 11CM
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3) Let C be a basis that contains vectors
2 2 -2 4
-24
4
-2
(1 + (−1) x + 1x² + 1x³), (1 + 2x + 2x² + (−1) x³), (1 + (−1) x + 2x² + 2x³), (1 + 2x + (−1) x² + (−1) x³), P =
1 1 1 4
-1
2 4 4
and [x] B=
-8-
=
Then :
X =
Transcribed Image Text:3) Let C be a basis that contains vectors 2 2 -2 4 -24 4 -2 (1 + (−1) x + 1x² + 1x³), (1 + 2x + 2x² + (−1) x³), (1 + (−1) x + 2x² + 2x³), (1 + 2x + (−1) x² + (−1) x³), P = 1 1 1 4 -1 2 4 4 and [x] B= -8- = Then : X =
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