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Check whether it is possible to perform the indicated operation.$\begin{bmatrix}4&-1\\3&-2\end{bmatrix}+\begin{bmatrix}0&0\\0&0\end{bmatrix}$[4 −13 −2]+[0 00 0]​ResponsesPossiblePossibleNot possibleNot possibleQuestion 2If possible, find the solution. If it is not possible, leave the matrix blank.$\begin{bmatrix}4&-1\\3&-2\end{bmatrix}+\begin{bmatrix}0&0\\0&0\end{bmatrix}=$[4 −13 −2]+[0 00 0]=​

Question

Check whether it is possible to perform the indicated operation.[4−13−2]+[0000]\begin{bmatrix}4&-1\\3&-2\end{bmatrix}+\begin{bmatrix}0&0\\0&0\end{bmatrix}[4 −13 −2]+[0 00 0]​ResponsesPossiblePossibleNot possibleNot possibleQuestion 2If possible, find the solution. If it is not possible, leave the matrix blank.[4−13−2]+[0000]=\begin{bmatrix}4&-1\\3&-2\end{bmatrix}+\begin{bmatrix}0&0\\0&0\end{bmatrix}=[4 −13 −2]+[0 00 0]=​

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Solution

The operation is possible because the two matrices have the same dimensions.

To add two matrices, we simply add the corresponding elements from each matrix.

So, the solution is:

[4−13−2]+[0000]=[4+0−1+03+0−2+0]=[4−13−2]\begin{bmatrix}4&-1\\3&-2\end{bmatrix}+\begin{bmatrix}0&0\\0&0\end{bmatrix}=\begin{bmatrix}4+0&-1+0\\3+0&-2+0\end{bmatrix}=\begin{bmatrix}4&-1\\3&-2\end{bmatrix}

So, the result of the operation is the same as the original matrix.

This problem has been solved

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