(i) x+y (ii) 2x - y ::: (2,2 2.
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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
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