In Exercises 3-6, the vector X is in a subspace H with a basis B = {b₁,b₂}. Find the B-coordinate vector of x. 3. bi 4. bi b₁ -3 = [_] » - [ ] × [ ] , b2 X = -3 - [_3],' [3] D = [ 3 ] - [ ] , b2 X = -3 5 5

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 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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In Exercises 3-6, the vector X is in a subspace H with a basis
B = {b₁,b₂}. Find the B-coordinate vector of x.
3. bi
4. bi
b₁
-3
=
[_] » - [ ] × [ ]
, b2
X =
-3
-
[3] D = [ 3 ] - [ ]
b2
X =
-3
5
5
Transcribed Image Text:In Exercises 3-6, the vector X is in a subspace H with a basis B = {b₁,b₂}. Find the B-coordinate vector of x. 3. bi 4. bi b₁ -3 = [_] » - [ ] × [ ] , b2 X = -3 - [3] D = [ 3 ] - [ ] b2 X = -3 5 5
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