3. Let W = ((1,2,3,6), (4,–1,3,6), (5, 1, 6, 12)) %3D W2 = ((1,-1,1,1), (2,-1,4, 5)) %3D be subspaces of R4. Find bases for W1n W2 and W, + W2. Extend the basis of W1n W2 to a basis of W1 + W2.
3. Let W = ((1,2,3,6), (4,–1,3,6), (5, 1, 6, 12)) %3D W2 = ((1,-1,1,1), (2,-1,4, 5)) %3D be subspaces of R4. Find bases for W1n W2 and W, + W2. Extend the basis of W1n W2 to a basis of W1 + W2.
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 68E: Find all subsets of the set S={(1,3,2),(4,1,1),(2,7,3),(2,1,1)} that form a basis for R3.
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Question
![3. Let
W = (1,2,3,6), (4,-1,3,6), (5, 1, 6, 12))
W2 = ((1,-1,1,1), (2, –1,4, 5))
%3D
%3D
be subspaces of R4. Find bases for W1n W2 and W, + W2.
Extend the basis of W1n W2 to a basis of W1 + W2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F608902b2-2cb6-4b2f-8fc2-3d115496a7e5%2Faf612085-5789-4dba-a536-8e882f6b9f48%2Fto0lgn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Let
W = (1,2,3,6), (4,-1,3,6), (5, 1, 6, 12))
W2 = ((1,-1,1,1), (2, –1,4, 5))
%3D
%3D
be subspaces of R4. Find bases for W1n W2 and W, + W2.
Extend the basis of W1n W2 to a basis of W1 + W2.
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