- #1
theCandyman
- 398
- 2
I know how to solve basic problems like this, but I have no clue where to start with one of the first parts in this example. I am given the following information about C, which is a 2 X 2 matrix.
[itex]C \left[
\begin{array}{cc}
1\\
2
\end{array}
\right] = \left[
\begin{array}{cc}
2\\
1
\end{array}
\right] [/itex] and [itex]C^2 \left[
\begin{array}{cc}
1\\
2
\end{array}
\right] = \left[
\begin{array}{cc}
-1\\
1
\end{array}
\right] [/itex]
The question asks for 2 X 2 matrices A and B so that CA = B, then solve for C.
My problem is finding what the B matrix is. A is [itex]\left[
\begin{array}{cc}
1 & 2\\
2 & 1
\end{array}
\right][/itex], so how can I find B if C is squared?
[itex]C \left[
\begin{array}{cc}
1\\
2
\end{array}
\right] = \left[
\begin{array}{cc}
2\\
1
\end{array}
\right] [/itex] and [itex]C^2 \left[
\begin{array}{cc}
1\\
2
\end{array}
\right] = \left[
\begin{array}{cc}
-1\\
1
\end{array}
\right] [/itex]
The question asks for 2 X 2 matrices A and B so that CA = B, then solve for C.
My problem is finding what the B matrix is. A is [itex]\left[
\begin{array}{cc}
1 & 2\\
2 & 1
\end{array}
\right][/itex], so how can I find B if C is squared?