If A=[1 -4 3],B=[-1 2 1], verify that (AB)'=B'A' calculate AC, BC and (A+B)C, Also,verify that (A+B)C=AC+BC.
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Step-by-step explanation:
Answer
Given A=[
1
2
2
1
] , B=[
2
1
0
3
] and C=[
1
2
1
3
]
AC=[
1
2
2
1
][
1
2
1
3
]=[
5
4
7
5
]
BC=[
2
1
0
3
][
1
2
1
3
]=[
2
7
2
10
]
(A+B)C=([
1
2
2
1
]+[
2
1
0
3
])[
1
2
1
3
]=[
3
3
2
4
][
1
2
1
3
]=[
7
11
9
15
]
Also, AC+BC=[
5
4
7
5
]+[
2
7
2
10
]=[
7
11
9
15
]
Hence, (A+B)C=AC+BC
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