4.) Find (a) a basis for and (b) the dimension of the solution space of the homogeneous equations 3x, + &r, + 2x, + 3x, = 0 4x, + 6x, + 2x, - x = 0 3x, + 4x, + x, - 3x, = 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 11CM
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4.) Find (a) a basis for and (b) the dimension of the solution space of the homogeneous equations
3x, + &r, + 2x, + 3x, = 0
4x, + 6x, + 2x, - x, = 0
3x, + 4x, + x, - 3x, = 0
Transcribed Image Text:4.) Find (a) a basis for and (b) the dimension of the solution space of the homogeneous equations 3x, + &r, + 2x, + 3x, = 0 4x, + 6x, + 2x, - x, = 0 3x, + 4x, + x, - 3x, = 0
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