Find bases for the four fundamental subspaces of the matrix A as follows. N(AT) = nullspace of AT R(AT) = column space of AT N(A) = nullspace of A R(A) = column space of A Then show that N(A) = R(AT)+ and N(AT) = R(A)+. 1 1 1 023 1 3 4 N(A) = N(AT) = R(A) = ↓ 1 ↓ 1
Find bases for the four fundamental subspaces of the matrix A as follows. N(AT) = nullspace of AT R(AT) = column space of AT N(A) = nullspace of A R(A) = column space of A Then show that N(A) = R(AT)+ and N(AT) = R(A)+. 1 1 1 023 1 3 4 N(A) = N(AT) = R(A) = ↓ 1 ↓ 1
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 61CR: Find the bases for the four fundamental subspaces of the matrix. A=[010030101].
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