Let E be the standard basis for R³. -{*-[B]*-*-} The vector has E coordinates 1 ·1₁ 3 The set of vectors B = b₁ = Express in terms of the ordered basis B. Note: [v] B is 3x1. [2] B = 1 is a different ordered basis for R³.
Let E be the standard basis for R³. -{*-[B]*-*-} The vector has E coordinates 1 ·1₁ 3 The set of vectors B = b₁ = Express in terms of the ordered basis B. Note: [v] B is 3x1. [2] B = 1 is a different ordered basis for R³.
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
![Let E be the standard basis for R³.
The set of vectors B
b₂ 0 , b3
-{-4-8-5-8)
[:] [8]}
1]
3
[2] B
=
The vector has E coordinates
=
6₁
Express in terms of the ordered basis B.
Note: [v] is 3x1.
B
is a different ordered basis for R³.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b59dbee-ce03-419c-adeb-8aa3d3fdea23%2Fd738efe2-c2d1-47c0-aa86-1209e1a1e396%2Fliv3mf_processed.png&w=3840&q=75)
Transcribed Image Text:Let E be the standard basis for R³.
The set of vectors B
b₂ 0 , b3
-{-4-8-5-8)
[:] [8]}
1]
3
[2] B
=
The vector has E coordinates
=
6₁
Express in terms of the ordered basis B.
Note: [v] is 3x1.
B
is a different ordered basis for R³.
![The vectors B
[x] B=
=
=
{[4].8}
form a basis. Find the B-coordinates of x =
[4]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b59dbee-ce03-419c-adeb-8aa3d3fdea23%2Fd738efe2-c2d1-47c0-aa86-1209e1a1e396%2Fpu81fei_processed.png&w=3840&q=75)
Transcribed Image Text:The vectors B
[x] B=
=
=
{[4].8}
form a basis. Find the B-coordinates of x =
[4]
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