Algebra 3 Quiz
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SYSTEMS, MATRICES & CONIC SECTIONS
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The system below is written as the matrix equation AX=BAX = B, where A=[12−1213312]A=\begin{bmatrix}1&2&-1\\2&1&3\\3&1&2\end{bmatrix} and B=[525]B=\begin{bmatrix}5\\2\\5\end{bmatrix}. If A−1=110[−1−5755−5−15−3]A^{-1}=\frac{1}{10}\begin{bmatrix}-1&-5&7\\5&5&-5\\-1&5&-3\end{bmatrix}, what is the zz-coordinate of the solution X=[xyz]X=\begin{bmatrix}x\\y\\z\end{bmatrix}?
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