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

please show work 6. (6 points) If possible, write
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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