Question

(i) x+y (ii) 2x - y ::: (2,2 2.​

Answer 1

Answer:

⇒ 2X−Y=[

6

−4

−6

2

0

1

] ---- ( 1 )

⇒ X+2Y=[

3

−2

2

1

5

−7

] ---- ( 2 )

Multipleyng equation ( 1 ) by 2, we get

⇒ 4X−2Y=[

12

−8

−12

4

0

2

] ---- ( 3 )

Now adding equation ( 2 ) and ( 3 ) we get,

⇒ X+2Y+4X−2Y=[

3

−2

2

1

5

−7

]+[

12

−8

−12

4

0

2

]

⇒ 5X=[

3+12

−2+(−8)

2+(−12)

1+4

5+0

−7+2

]

⇒ X=

5

1

[

15

−10

−10

5

5

−5

]

⇒ X=[

3

−2

−2

1

1

−1

]

From ( 2 ),

⇒ X+2Y=[

3

−2

2

1

5

−7

]

⇒ 2Y=[

3

−2

2

1

5

−7

]−X

Substituting matrix X,

⇒ 2Y=[

3

−2

2

1

5

−7

]−[

3

−2

−2

1

1

−1

]

⇒ 2Y=[

0

0

4

0

4

−6

]

⇒ Y=

2

1

[

0

0

4

0

4

−6

]

∴ Y=[

0

0

2

0

2

−3

]

Step-by-step explanation:

hope its helps