Question: please show work 6. (6 points) If possible, write down an example of a matrix with the following properties. If it is not possible to

please show work

6. (6 points) If possible, write down an example of a matrix with the following properties. If it is not possible to do so, write not possible in or below the matrix. (a) A 3 X 3 matrix in RREF whose null space is the plane defined by 2901 4:132 + 6:63 2 0. A: (b) A lower triangular 3 X 3 matrix A with rank(A) = 2 and det(A) = 6. A: 1 0 (c) An lower triangular 3 X 3 matrix A with Col(A) spanned by (0) and . 1 3 A

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