(d) Find a basis for the column space of A. (e) Determine whether or not the rows of A are linearly independent. O independent O dependent (f) Let the columns of A be denoted by a,, a, a3, a4, and as....

Extracted text: (d) Find a basis for the column space of A. (e) Determine whether or not the rows of A are linearly independent. O independent O dependent (f) Let the columns of A be denoted by a,, a, a3, a4, and as. Which of the following sets is (are) linearly independent? (Select all that apply.) O {a,, a2, a4} O {a,, a2, az} O {a,, a3, as}


Extracted text: Use the fact that matrices A and B are row-equivalent. 1 2 10 2 5 1 1 2 2 -2 A = 3 7 19 44 13 4 4 3 0 -4 0 1 -1 0 0 1 -2 0 0 1 0 B = 00 0 0 (a) Find the rank and nullity of A. rank nullity (b) Find a basis for the nullspace of A. (c) Find a basis for the row space of A. 2.