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Question: please i really do need help on questions that i...

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Please I really do need help on questions that I circled. Thank you
(dl If A is n x m with n<m, then rank(A) si m. echelon form of A has two zero rows (a) what is the dimension of row(A)? (b) What is the dimension of col(A)? EXERCISES Exercises 1-4: Find bases for the column space ofA, the row sace of A, and the null space of A. Verify that the Rank-Nullity Theorem holds (To make your job easier, an equivalent echelon 7A 3 ll 7 form is given for each matrix. Exercises 9-12 Find all values ofx so that rank(A) 2. 1.A 10.A 9, A 2.A 10 -3 T 1 2 0 -11 ri o 2 01 13, Suppose that A is a 6 X 8 matrix. Ifthe dimension of the row space of A is 5, what is the dimension of the column space of A? 3.A 14 suppose that A is a 9 x 7 matrix. If the dimension of col(A) 2 2 2 -4 J Lo 0 0 0 is 5, what is the dimension of row(A)? 15. Suppose that A is a 4 x 7 matrix that has an echelon form with one zero row. Find the dimensions of the row space of A, the column space of A, and the null space of A. that A is a 6 x 11 matrix that has an echelon form 16. Suppose with two zero rows. Find the dimensions of the row space 3 1 1 Lo 0 0 of A, the column space of A, and the null space of A. Exercises 5-8: Find bases for the column space of A, the row 17. A 8 x 5 matrix A has a null space of dimension 3. What is space of A, and the null space of A. Verify that the Rank-Nullity the rank of A? 18.MA, 5 x 13 matrix A has a null space of dimension 10. What is rank of A? 6. A 19. A 7 x 11 matrix A has rank 4. What isthe dimension of the null space of A?
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