Linear algebra Exam 1 - Page 3 of 6 19/2/2020 H 3. (20 points) Let A = Oo -101 1 0 2 0 0 3 9 = [Vi U2 13 UA V5] O 0 0 0 0 a) Find the reduced row echelon form of A and show your work and abbreviate row operations that you apply in each step 0 - 1 014 4 -1 0 14 7 1 -1 014 1000 0 107] U 1027 0 10 0 1 7 00 013 UUV 13 U VOUV UUULO b) What is rank of A? c) Do the columns of A span R4? Yes, it does X d) Write two sets S, and $2 of linearly independent columns of A that span R3 S1 = $2 = e) If A is augmented matrix find the solution set of the system in parametric vector form. [2, 1, 31