Question

hello:)
I have an algebra 2 question attatched please help
Thank you !

Answer 1

Say \(A\) is the matrix \begin{bmatrix}
5 & -2 \\[0.3em]
2 & 1 \\[0.3em]

\end{bmatrix} Then to solve
isolate \(X\) in "\(AX\)". you need to compute on the left hand side:
\(A^{-1}AX\), since \(A^{-1}A=I\), and \(IX=X\).

So, you need to find the inverse of \(A\). For a 2x2 matrix, the inverse of a general 2x2 \[M=\begin{bmatrix} a & b \\[0.3em]
c & d \\[0.3em]

\end{bmatrix}, \text{then } M^{-1}=\frac{1}{ad-bc}\begin{bmatrix} d & -b \\[0.3em]
-c & a \\[0.3em]

\end{bmatrix}\]

Answer 2

okay so my answr choice is right?

Answer 3

Yes

Answer 4

thankss (: