(Solved): 1) Give one example of a non-zero matrix A with at least 15 rational entries where the number of ro ...

1) Give one example of a non-zero matrix $A$ with at least 15 rational entries where the number of rows is larger than the number of columns and its row reduced echelon form. You can use your CSU ID digits or double digits as your matrix entries in the order they appear in the CSU ID list above. Write A and $\mathrm{rref}(A)$ in the space below. $A=?\begin{array}{lll}1& 2& 3\\ 2& 1& 1\\ 3& 2& 1\\ 1& 2& 1\\ 2& 3& 3\end{array}??\begin{array}{lll}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\\ 0& 0& 0\\ 0& 0& 0\end{array}?\text{ rref calc }$ 2) Transpose the matrix $A$ and call it $B$, that is, column 1 of $A$ is row 1 of $B$, column 2 of $A$ is row 2 of $B$, and so on. Write $B$ below and its row reduced echelon form below. Write a transformation associated to the matrix $B$ and calculate both the kernel and the range of the transformation. Attach pages as needed.