notes II
... the row space has the same dimension as the rank, r, which is 2 for U (2 non-zero rows). If A has been reduced to the echelon form U, the rows of U constitute a basis for the row space of A. The nullspace of A The nullspace of A is defined by solutions to A.x = 0. If we transform A.x = 0 to U.x = 0 ...
... the row space has the same dimension as the rank, r, which is 2 for U (2 non-zero rows). If A has been reduced to the echelon form U, the rows of U constitute a basis for the row space of A. The nullspace of A The nullspace of A is defined by solutions to A.x = 0. If we transform A.x = 0 to U.x = 0 ...
