3) Let C be a basis that contains vectors (−2 + 1x + 1x2 + (−1) x3), (1 + (−2) x + 4x2 + 2x3), (−2 + 1x + 1x2 + (−1) x3), (−4 + 4x + 2x + 4x3) and P = C-B Then : b = b2 = , by = ba = b4 9 3 3 * * 2 4 4 -2 4 -1 4 -1 -1 -2 4 -4 -2 -2 2-2
3) Let C be a basis that contains vectors (−2 + 1x + 1x2 + (−1) x3), (1 + (−2) x + 4x2 + 2x3), (−2 + 1x + 1x2 + (−1) x3), (−4 + 4x + 2x + 4x3) and P = C-B Then : b = b2 = , by = ba = b4 9 3 3 * * 2 4 4 -2 4 -1 4 -1 -1 -2 4 -4 -2 -2 2-2
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 45EQ
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Transcribed Image Text:3) Let C be a basis that contains vectors
2
(−2 + 1x + 1x^ + (−1) x3), (1 + (−2) x + 4x2 + 2x3), (−2 + 1x + 1x2 + (-1) 3), (−4 + 4x + 2 + 4x3) and P =
C-B
-1
Then :
b₁
b2 =
, b3 :
=
, ba =
3
=
4 4
-1 4
-24
-2 -2 2
↓
NALN
-1
-4
-2
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