Knowee
Questions
Features
Study Tools

Check whether it is possible to perform the indicated operation.$\begin{bmatrix}4&-3\\7&-2\end{bmatrix}-\begin{bmatrix}1&-2\\3&-6\end{bmatrix}$[4 −37 −2]−[1 −23 −6]​ResponsesPossiblePossibleNot possibleNot possibleQuestion 2If possible, find the solution. If it is not possible, leave the matrix blank.$\begin{bmatrix}4&-3\\7&-2\end{bmatrix}-\begin{bmatrix}1&-2\\3&-6\end{bmatrix}=$[4 −37 −2]−[1 −23 −6]=​

Question

Check whether it is possible to perform the indicated operation.[4−37−2]−[1−23−6]\begin{bmatrix}4&-3\\7&-2\end{bmatrix}-\begin{bmatrix}1&-2\\3&-6\end{bmatrix}[4 −37 −2]−[1 −23 −6]​ResponsesPossiblePossibleNot possibleNot possibleQuestion 2If possible, find the solution. If it is not possible, leave the matrix blank.[4−37−2]−[1−23−6]=\begin{bmatrix}4&-3\\7&-2\end{bmatrix}-\begin{bmatrix}1&-2\\3&-6\end{bmatrix}=[4 −37 −2]−[1 −23 −6]=​

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

It is possible to perform the indicated operation because both matrices have the same dimensions (2x2).

To subtract matrices, we subtract corresponding elements in the matrices.

So, the solution is:

[4−37−2]−[1−23−6]=[4−1−3−(−2)7−3−2−(−6)]\begin{bmatrix}4&-3\\7&-2\end{bmatrix}-\begin{bmatrix}1&-2\\3&-6\end{bmatrix}=\begin{bmatrix}4-1&-3-(-2)\\7-3&-2-(-6)\end{bmatrix}

This simplifies to:

[3144]\begin{bmatrix}3&1\\4&4\end{bmatrix}

So, the result of the subtraction of the two matrices is the matrix [3144]\begin{bmatrix}3&1\\4&4\end{bmatrix}.

This problem has been solved

Similar Questions

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]=​

Check whether it is possible to perform the indicated operation.$\begin{bmatrix}3&0\\1&5\end{bmatrix}\begin{bmatrix}2&-4\end{bmatrix}$[3 01 5][2 −4]​ResponsesPossiblePossibleNot possibleNot possibleQuestion 2If possible, find the product. If it is not possible, leave the box empty.$\begin{bmatrix}3&0\\1&5\end{bmatrix}\begin{bmatrix}2&-4\end{bmatrix}=$[3 01 5][2 −4]=​

Check whether it is possible to perform the indicated operation.$\begin{bmatrix}6&-1\end{bmatrix}\begin{bmatrix}3\\2\end{bmatrix}$[6 −1][32]​ResponsesPossiblePossibleNot possibleNot possibleQuestion 2If possible, find the product. If not possible, leave the box empty.$\begin{bmatrix}6&-1\end{bmatrix}\begin{bmatrix}3\\2\end{bmatrix}=$[6 −1][32]=​

(4 marks)Let A = (aij ) be the 4 × 4 matrix and D = (dij ) be the 4 × 1 matrix shown below.A =−3 1 1 01 1 2 −20 1 1 21 1 2 1 D =−1101(a) Evaluate4∑j=1a4j a2j

Perform the indicated operations.$7\left(\begin{bmatrix}-1&0\\8&-4\\-3&5\end{bmatrix}-\begin{bmatrix}4&3\\6&0\\5&1\end{bmatrix}\right)=$7([−1 08 −4−3 5]−[4 36 05 1])=​

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.