Find the sum. [[3,1],[0,-2]]+[[4,0],[3,-1]]=

Identify Elements: Identify the corresponding elements in each matrix that need to be added together.Add First Row and Column: Add the elements in the first row and first column of both matrices: 3 (from the first matrix) + 4 (from the second matrix) = 7.Add First Row and Second Column: Add the elements in the first row and second column of both matrices: 1 (from the first matrix) + 0 (from the second matrix) = 1.Add Second Row and First Column: Add the elements in the second row and first column of both matrices: 0 (from the first matrix) + 3 (from the second matrix) = 3.Add Second Row and Second Column: Add the elements in the second row and second column of both matrices: -2 (from the first matrix) + -1 (from the second matrix) = -3.Combine Results: Combine the results from steps 2 to 5 to form the resulting matrix.

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Find the sum.

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\left[\begin{array}{cc} 3 & 1 \\ 0 & -2 \end{array}\right]+\left[\begin{array}{cc} 4 & 0 \\ 3 & -1 \end{array}\right]=

Identify Elements: Identify the corresponding elements in each matrix that need to be added together.
Add First Row and Column: Add the elements in the first row and first column of both matrices: $3$ (from the first matrix) + $4$ (from the second matrix) = $7$ .
Add First Row and Second Column: Add the elements in the first row and second column of both matrices: $1$ (from the first matrix) + $0$ (from the second matrix) = $1$ .
Add Second Row and First Column: Add the elements in the second row and first column of both matrices: $0$ (from the first matrix) + $3$ (from the second matrix) = $3$ .
Add Second Row and Second Column: Add the elements in the second row and second column of both matrices: $-2$ (from the first matrix) $+$ $-1$ (from the second matrix) $=$ $-3$ .
Combine Results: Combine the results from steps $2$ to $5$ to form the resulting matrix.