Wednesday, October 17, 2018

College Algebra, Chapter 7, 7.2, Section 7.2, Problem 8

Evaluate $\left[ \begin{array}{ccc}
0 & 1 & 1 \\
1 & 1 & 0
\end{array} \right] - \left[ \begin{array}{ccc}
2 & 1 & -1 \\
1 & 3 & -2
\end{array} \right]$ or explain why it can not be performed.


$
\begin{equation}
\begin{aligned}

\left[ \begin{array}{ccc}
0 & 1 & 1 \\
1 & 1 & 0
\end{array} \right]

-

\left[ \begin{array}{ccc}
2 & 1 & -1 \\
1 & 3 & -2
\end{array} \right]

=&

\left[ \begin{array}{ccc}
0-2 & 1-1 & 1-(-1) \\
1-1 & 1-3 & 0-(-2)
\end{array} \right]
\\
\\
\\
\\
=& \left[ \begin{array}{ccc}
-2 & 0 & 2 \\
0 & -2 & 2
\end{array} \right]



\end{aligned}
\end{equation}
$

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