2/ 3 + 1 /4 + 5 0 =
Answers
Step-by-step explanation:
A+B=
⎣
⎢
⎢
⎡
1
5
1
2
0
−1
−3
2
1
⎦
⎥
⎥
⎤
+
⎣
⎢
⎢
⎡
3
4
2
−1
2
0
2
5
3
⎦
⎥
⎥
⎤
=
⎣
⎢
⎢
⎡
1+3
5+4
1+2
2−1
0+2
−1+0
−3+2
2+5
1+3
⎦
⎥
⎥
⎤
=
⎣
⎢
⎢
⎡
4
9
3
1
2
−1
−1
7
4
⎦
⎥
⎥
⎤
B−C=
⎣
⎢
⎢
⎡
3
4
2
−1
2
0
2
5
3
⎦
⎥
⎥
⎤
−
⎣
⎢
⎢
⎡
4
0
1
1
3
−2
2
2
3
⎦
⎥
⎥
⎤
=
⎣
⎢
⎢
⎡
3−4
4−0
2−1
−1−1
2−3
0−(−2)
2−2
5−2
3−3
⎦
⎥
⎥
⎤
=
⎣
⎢
⎢
⎡
−1
4
1
−2
−1
2
0
3
0
⎦
⎥
⎥
⎤
A+(B−C)=
⎣
⎢
⎢
⎡
1
5
1
2
0
−1
−3
2
1
⎦
⎥
⎥
⎤
+
⎣
⎢
⎢
⎡
−1
4
1
−2
−1
2
0
3
0
⎦
⎥
⎥
⎤
=
⎣
⎢
⎢
⎡
1+(−1)
5+4
1+1
2+(−2)
0+(−1)
−1+2
−3+0
2+3
1+0
⎦
⎥
⎥
⎤
=
⎣
⎢
⎢
⎡
0
9
2
0
−1
1
−3
5
1
⎦
⎥
⎥
⎤
(A+B)−C=
⎣
⎢
⎢
⎡
4
9
3
1
2
−1
−1
7
4
⎦
⎥
⎥
⎤
−
⎣
⎢
⎢
⎡
4
0
1
1
3
−2
2
2
3
⎦
⎥
⎥
⎤
=
⎣
⎢
⎢
⎡
4−4
9−0
3−1
1−1
2−3
−1−(−2)
−1−2
7−2
4−3
⎦
⎥
⎥
⎤
=
⎣
⎢
⎢
⎡
0
9
2
0
−1
1
−3
5
1
⎦
⎥
⎥
⎤
Hence, we have verified that A+(B−C)=(A+B)−C.
Answer:
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Step-by-step explanation:
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