Question

Which matrix is equal to P + Q?

P=⎡⎣⎢6.1−7.53.81.92.2−1.4⎤⎦⎥ and Q=⎡⎣⎢−7.21.82.37.6−1.42.1⎤⎦⎥


Responses

⎡⎣⎢13.3−9.31.5−5.73.6−3.5⎤⎦⎥


Matrix with 3 rows and 2 columns. row 1 column 1 entry 13.3. row 1 column 2 entry negative 5.7. row 2 column 1 entry negative 9.3. row 2 column 2 entry 3.6. row 3 column 1 entry 1.5. row 3 column 2 entry negative 3.5.

⎡⎣⎢−1.1−5.76.19.50.80.7⎤⎦⎥

Matrix with 3 rows and 2 columns. row 1 column 1 entry negative 1.1. row 1 column 2 entry 9.5. row 2 column 1 entry negative 5.7. row 2 column 2 entry 0.8. row 3 column 1 entry 6.1. row 3 column 2 entry 0.7.

⎡⎣⎢−13.39.3−1.55.7−3.63.5⎤⎦⎥



Matrix with 3 rows and 2 columns. row 1 column 1 entry negative 13.3. row 1 column 2 entry 5.7. row 2 column 1 entry negative 9.3. row 2 column 2 entry negative 3.6. row 3 column 1 entry negative 1.5. row 3 column 2 entry negative 3.5.

⎡⎣⎢1.15.7−6.1−9.5−0.8−0.7⎤⎦⎥


Matrix with 3 rows and 2 columns. row 1 column 1 entry 1.1. row 1 column 2 entry negative 9.5. row 2 column 1 entry 5.7. row 2 column 2 entry negative 0.8. row 3 column 1 entry negative 6.1. row 3 column 2 entry negative 0.7.

Answer 1

Add corresponding entries:

P + Q =
[6.1 + (−7.2), −7.5 + 1.8;
3.8 + 2.3, 1.9 + 7.6;
2.2 + (−1.4), −1.4 + 2.1]
=
[−1.1, −5.7;
6.1, 9.5;
0.8, 0.7]

So the correct choice is the matrix ⎡⎣⎢−1.1 −5.7; 6.1 9.5; 0.8 0.7⎤⎦⎥.