MATH102 Quiz: HWP1 Q3 FALL 2019

A = [-1 0 0 0 0 2 0 0 0 0 -1 0 1 0 0 0]

Each of the matrices below is the reduced echelon form of the augmented matrix for a system of linear equations. (1) [1 0 0 0 0 0 0 1 0 1 0 0 0 1 0] (2) [1 0 0 1 0 0 0 0 0 0 1 0] (c) [0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 2 0 0 0] a) Which system(s) above has(have) no solution? Why? b) Which system(s) above has(have) solution? Write the solution(s) of the system(s).

Find a basis for the column space of the matrix. 10-5 0 -5 01 3 0 4 B 0 0 0 1 1 0 0 0 0 0 T 51 0 -1 0 1 0 0 0 0 01 0 0 1 0 0 0 11 [01 T-5 0 0 0