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.(adsbygoogle = window.adsbygoogle || []).push({});

[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?

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# Homework Help: Matrix multiplication problem.

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