Math, asked by tannu997280, 1 month ago

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.​

Answers

Answered by angelkalta001
0

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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