Find the sum. ⎡⎣⎢−140−2020−1542⎤⎦⎥+⎡⎣⎢−5202510−456⎤⎦⎥ Complete the matrix that represents the sum. (1 point) ⎡⎣⎢−140−2020−1542⎤⎦⎥+⎡⎣⎢−5202510−456⎤⎦⎥= $$

Answer 1

To find the sum of the two matrices, we add the corresponding elements together.

Given matrices: \[ \begin{bmatrix} -140 & -20 & 20 \ -15 & 4 & 2 \end{bmatrix} \] and \[ \begin{bmatrix} -5 & 2025 & 10 \ -45 & 6 & 0 \end{bmatrix} \]

We will add them element-wise.

1. First row, first column: \(-140 + (-5) = -145\)

2. First row, second column: \(-20 + 2025 = 2005\)

3. First row, third column: \(20 + 10 = 30\)

4. Second row, first column: \(-15 + (-45) = -60\)

5. Second row, second column: \(4 + 6 = 10\)

6. Second row, third column: \(2 + 0 = 2\)

Now we compile the results into a new matrix:

\[ \begin{bmatrix} -145 & 2005 & 30 \ -60 & 10 & 2 \end{bmatrix} \]

Thus, the result of the matrix sum is:

\[ \begin{bmatrix} -145 & 2005 & 30 \ -60 & 10 & 2 \end{bmatrix} \]