Problem

8. Perform the indicated operation. \[ \left[\begin{array}{cc} 6 & -6 \\ 3 & -8 \end{array}\right]-\left[\begin{array}{cc} -4 & -3 \\ -7 & 4 \end{array}\right] \]

Solution

Step 1 :We are given two matrices and asked to subtract them. The matrices are: \n\[\left[\begin{array}{cc} 6 & -6 \\ 3 & -8 \end{array}\right] \text{ and } \left[\begin{array}{cc} -4 & -3 \\ -7 & 4 \end{array}\right]\n\]

Step 2 :To subtract two matrices, they must have the same dimensions. In this case, both matrices are 2x2, so we can subtract them.

Step 3 :We subtract corresponding elements in the matrices to get the result. The result is: \n\[\left[\begin{array}{cc} 10 & -3 \\ 10 & -12 \end{array}\right]\n\]

Step 4 :Final Answer: The result of the subtraction of the two matrices is \n\[\boxed{ \left[\begin{array}{cc} 10 & -3 \\ 10 & -12 \end{array}\right] }\n\]

From Solvely APP
Source: https://solvelyapp.com/problems/17577/

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