 # Perform the indicated matrix operations: begin{bmatrix}5 & 4 -3 & 7 0 & 1 end{bmatrix}-begin{bmatrix}-4 & 8 6 & 0 -5 & 3 end{bmatrix} SchachtN 2021-03-09 Answered
Perform the indicated matrix operations:
$\left[\begin{array}{cc}5& 4\\ -3& 7\\ 0& 1\end{array}\right]-\left[\begin{array}{cc}-4& 8\\ 6& 0\\ -5& 3\end{array}\right]$
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Step 1
According to he question,, we have to subtract the given two matrix $\left[\begin{array}{cc}5& 4\\ -3& 7\\ 0& 1\end{array}\right]-\left[\begin{array}{cc}-4& 8\\ 6& 0\\ -5& 3\end{array}\right]$ .
Matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.
We can perform the operations like addition or subtraction with the corresponding elements and solve accordingly.
Step 2
Rewrite the given matrices,
$\left[\begin{array}{cc}5& 4\\ -3& 7\\ 0& 1\end{array}\right]-\left[\begin{array}{cc}-4& 8\\ 6& 0\\ -5& 3\end{array}\right]$
Now subtract the corresponding elements,so,
$\left[\begin{array}{cc}5& 4\\ -3& 7\\ 0& 1\end{array}\right]-\left[\begin{array}{cc}-4& 8\\ 6& 0\\ -5& 3\end{array}\right]=\left[\begin{array}{cc}5+4& 4-8\\ -3-6& 7-0\\ 0+5& 1-3\end{array}\right]$
$=\left[\begin{array}{cc}9& -4\\ -9& 7\\ 5& -2\end{array}\right]$
Hence, the value of the matrices $\left[\begin{array}{cc}5& 4\\ -3& 7\\ 0& 1\end{array}\right]-\left[\begin{array}{cc}-4& 8\\ 6& 0\\ -5& 3\end{array}\right]$ is $\left[\begin{array}{cc}9& -4\\ -9& 7\\ 5& -2\end{array}\right]$
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