4. Given B = 12 · {( { } ), ( { } ), ( 1 )} * (a) Verify that B is indeed a basis for V. (b) Find 2 3 2 2 )], B and V span(B), = (c) Find the element w EV so that [w]B 0 2

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).
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4. Given B =
12
· {( { } ), ( { } ), ( 1 )} *
(a) Verify that B is indeed a basis for V.
(b) Find
2 3
2
2
)],
B
and V span(B),
=
(c) Find the element w EV so that [w]B
0
2
Transcribed Image Text:4. Given B = 12 · {( { } ), ( { } ), ( 1 )} * (a) Verify that B is indeed a basis for V. (b) Find 2 3 2 2 )], B and V span(B), = (c) Find the element w EV so that [w]B 0 2
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