Consider a matrix and its RREF
The dimension of the null space of is .
The dimension of the column space of is .
The dimension of the row space of is .
The dimension of the left null space of is .HW5.5. Finding the dimensions of the four fundamental subspaces Consider a matrix A A= -14 5 10 -18 3 -21 -4 -1 -15 -29 24 -7 17 -1 -5 -7 24 6 -28 11 20 0 -24 6 -3 3 9 -14 -15 7 3 25 17 and its RREF [1.00 0.00 0.00 -0.30
0.00 1.00 0.00 -1.02 0.00 0.00 1.00 -0.44 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 The dimension of the null space of A is The dimension of the column space of A is The dimension of the row space of A is The dimension of the left null space of A is