4. Let B = {v1, v2, v3} and C = {w1, w2, w3} be bases for R3, with vectors defined below. -(:) --() --() --:) --) --(E) , U2 = V3 = and 1 wi = , w2 = 1 , W3 = 1 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.
4. Let B = {v1, v2, v3} and C = {w1, w2, w3} be bases for R3, with vectors defined below. -(:) --() --() --:) --) --(E) , U2 = V3 = and 1 wi = , w2 = 1 , W3 = 1 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.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
Related questions
Question
![4. Let B = {v1, v2, V3} and C = {w1, w2, w3} be bases for R3, with vectors defined below.
-(:) -() --()
v1 =
V2 =
V3 =
and
--(:) --E) --()
1
wi =
, w2 =
1
, W3 =
1
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%2Fd0c4b841-9024-4607-aec4-c29a927f53b2%2Fd73f0db7-8fe9-4cd5-89d8-b69963e3377a%2Fwo53zb_processed.jpeg&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.
-(:) -() --()
v1 =
V2 =
V3 =
and
--(:) --E) --()
1
wi =
, w2 =
1
, W3 =
1
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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