Problem

natrices $A$ and $B$ shown below, find $-A-\frac{1}{3} B$ \[ A=\left[\begin{array}{cc} 5 & 6 \\ -5 & 2 \\ -6 & -2 \\ 5 & 4 \end{array}\right] \quad B=\left[\begin{array}{cc} 36 & -3 \\ 0 & 12 \\ -3 & -33 \\ -27 & -9 \end{array}\right] \]

Solution

Step 1 :Negate matrix \( A \) by multiplying each element by -1 to get \( -A \)

Step 2 :Divide each element of matrix \( B \) by 3 to get \( \frac{1}{3} B \)

Step 3 :Subtract \( \frac{1}{3} B \) from \( -A \) to get the final result

Step 4 :The final answer is \( \boxed{\begin{array}{cc} -17 & -5 \\ 5 & -6 \\ 7 & 13 \\ 4 & -1 \end{array}} \)

From Solvely APP
Source: https://solvelyapp.com/problems/VuyC092ywS/

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