He column of the matrix in reduced echelon form to right

Question

Assignment

1) Construct a 6 X 6 non zero matrix A and a vector b in ??6 such that b is not in the set spanned by the columns of A.

2) The column of the matrix in reduced echelon form to the right span R⁴.

Find a column of the matrix that can be deleted and yet the remaining matrix column still span R⁴.

3) Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below.

????_?? + ????_?? + ??????_?? = ????
-??????_?? - ??????_?? - ??????_?? = -????
-????_?? + ????_?? = ??
????_?? + ????_?? + ??????_?? = ??
-??????_?? - ??????_?? - ??????_?? = ??
-????_?? + ????_?? = 0