(Solved): Linear Algreba Find formulas for X,Y, and Z in terms of A,B, and C. It may be necessary to make assu ...

Find formulas for $$X,Y$$, and $$Z$$ in terms of $$A,B$$, and $$C$$. It may be necessary to make assumptions about the size of a matrix in order to produce a formula. [Hint. Compute the product on the left, and set it equal to the right side] $$\left[\begin{array}{ll}A& B\\ C& 0\end{array}\right]\left[\begin{array}{ll}I& 0\\ X& Y\end{array}\right]=\left[\begin{array}{ll}0& 1\\ Z& 0\end{array}\right]$$ Find the formulas for $$X,Y$$, and $$Z$$. Note that $$I$$ represents the identity matrix and 0 represents the zero matrix. $$\begin{array}{l}X=\\ Y=\\ Z=\end{array}$$