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Find the sum.

[[-2,0],[3,-2]]+[[3,-1],[2,0]]=

Find the sum. $\newline$ $\left[\begin{array}{cc} -2 & 0 \\ 3 & -2 \end{array}\right]+\left[\begin{array}{cc} 3 & -1 \\ 2 & 0 \end{array}\right]=$

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Multiply two decimals: where does the decimal point go?

Full solution

Q. Find the sum.

\newline

\left[\begin{array}{cc} -2 & 0 \\ 3 & -2 \end{array}\right]+\left[\begin{array}{cc} 3 & -1 \\ 2 & 0 \end{array}\right]=

Identify Elements: Identify the corresponding elements in each matrix that need to be added together. $\newline$ To add two matrices, we add the corresponding elements from each matrix. This means we will add the elements in the same position in each matrix.
Add First Row: Add the corresponding elements from the first row of both matrices. $\newline$ The first row of the first matrix is $[-2, 0]$ , and the first row of the second matrix is $[3, -1]$ . Adding these gives us: $\newline$ $-2 + 3 = 1$ $\newline$ $0 + (-1) = -1$ $\newline$ So, the first row of the resulting matrix is $[1, -1]$ .
Add Second Row: Add the corresponding elements from the second row of both matrices. $\newline$ The second row of the first matrix is $[3, -2]$ , and the second row of the second matrix is $[2, 0]$ . Adding these gives us: $\newline$ $3 + 2 = 5$ $\newline$ $-2 + 0 = -2$ $\newline$ So, the second row of the resulting matrix is $[5, -2]$ .
Combine Results: Combine the results from Step $2$ and Step $3$ to form the final matrix. $\newline$ The resulting matrix after adding the corresponding elements is: $\newline$ $\begin{bmatrix} 1 & -1 \ 5 & -2 \end{bmatrix}$

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