3) Given the 4x6 matrix A shown below, find the following: a) the rank of matrix...

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3) Given the 4x6 matrix A shown below, find the following: a) the rank of matrix A: b) the nullity of matrix A: c) a basis for the row space of matrix A d) a basis for the column space of matrix A, and e) a basis for the nullspace of the homogeneous system Ax = 0. A = 1 2 0 -3 -3 0 2 0 7 -6 1 10 2 27 00 0 1 2 9 0 -6 -5 -31 3) Given the 4x6 matrix A shown below, find the following: a) the rank of matrix A: b) the nullity of matrix A: c) a basis for the row space of matrix A d) a basis for the column space of matrix A, and e) a basis for the nullspace of the homogeneous system Ax = 0. A = 1 2 0 -3 -3 0 2 0 7 -6 1 10 2 27 00 0 1 2 9 0 -6 -5 -31