Find the difference. $\newline$ $\left[\begin{array}{ll} 0 & 2 \\ 4 & 4 \end{array}\right]-\left[\begin{array}{cc} 2 & 3 \\ -2 & 4 \end{array}\right]=$

Full solution

Q. Find the difference.

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\left[\begin{array}{ll} 0 & 2 \\ 4 & 4 \end{array}\right]-\left[\begin{array}{cc} 2 & 3 \\ -2 & 4 \end{array}\right]=

Identify Elements to Subtract: Identify the corresponding elements in each matrix that need to be subtracted. $\newline$ Matrix A: $[[0,2],[4,4]]$ $\newline$ Matrix B: $[[2,3],[-2,4]]$ $\newline$ We will subtract each element in Matrix B from the corresponding element in Matrix A.
Subtract First Row: Subtract the elements in the first row. $\newline$ Subtract the first element of the first row in Matrix B from the first element of the first row in Matrix A: $0 - 2 = -2$ . $\newline$ Subtract the second element of the first row in Matrix B from the second element of the first row in Matrix A: $2 - 3 = -1$ .
Subtract Second Row: Subtract the elements in the second row. $\newline$ Subtract the first element of the second row in Matrix B from the first element of the second row in Matrix A: $4 - (-2) = 4 + 2 = 6$ . $\newline$ Subtract the second element of the second row in Matrix B from the second element of the second row in Matrix A: $4 - 4 = 0$ .
Combine Results: Combine the results to form the resulting matrix. $\newline$ The resulting matrix after subtraction is: $\left[\begin{array}{cc} -2 & -1 \ 6 & 0 \end{array}\right]$ .