4. Let B = {v1, v2, V3} and C = {w1, w2, w3} be bases for R³, with vectors defined below. %3D -(:)--(:)--() (;) 1 vị = V3 = 1 V2 | and :) 1 wi W2 1 W3 -1 Let L: R3 → R³ be the linear transformation defined by (:)-() Find [L]B and [L]c, the matrices associated to L with respect to B and with respect to C. ||
4. Let B = {v1, v2, V3} and C = {w1, w2, w3} be bases for R³, with vectors defined below. %3D -(:)--(:)--() (;) 1 vị = V3 = 1 V2 | and :) 1 wi W2 1 W3 -1 Let L: R3 → R³ be the linear transformation defined by (:)-() Find [L]B and [L]c, the matrices associated to L with respect to B and with respect to C. ||
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![4. Let B = {v1, V2, V3} and C = {w1, w2, w3} be bases for R³, with vectors defined below.
(:)
1
-3
1
V3 =
1
v2
-1
and
--(:) --() --)
1
wi
w2
1
W3
Let L: R3 → R³ be the linear transformation defined by
(:)-)
L :
Find [L]B and [L]c, the matrices associated to L with respect to B and with respect to C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6548c067-4eb1-4487-ab59-7ad1aff1391f%2F90d9730d-13d5-4138-809c-d0a57f1afac5%2F5ga8itx_processed.png&w=3840&q=75)
Transcribed Image Text:4. Let B = {v1, V2, V3} and C = {w1, w2, w3} be bases for R³, with vectors defined below.
(:)
1
-3
1
V3 =
1
v2
-1
and
--(:) --() --)
1
wi
w2
1
W3
Let L: R3 → R³ be the linear transformation defined by
(:)-)
L :
Find [L]B and [L]c, the matrices associated to L with respect to B and with respect to C.
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