16 Find a basis for each of these subspaces of R*: (a) All vectors whose components are equal. (b) All vectors whose components add to zero. (c) All vectors that are perpendicular to (1,1,0,0) and (1,0, 1, 1). (d) The column space and the nullspace of I (4 by 4).
16 Find a basis for each of these subspaces of R*: (a) All vectors whose components are equal. (b) All vectors whose components add to zero. (c) All vectors that are perpendicular to (1,1,0,0) and (1,0, 1, 1). (d) The column space and the nullspace of I (4 by 4).
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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