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If B is any echelon form of A, then the pivot columns of B form a basis for the column space of A.
b. Row operations preserve the linear dependence relations among the row of A.
C. The dimension of the null space of A is the number of columns of A that do not pivot columns.
D. The row space of AT is the same as the column space of A.
Ā
(b) Find a basis for the column space of M.
(c) Find a basis for the row space of M.