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If A={:[(6,-7,1),(3,-2,1)]:}andB={:[(5,1...

If `A={:[(6,-7,1),(3,-2,1)]:}andB={:[(5,1,2),(-4,3,-5)]:}` then find X such that 2A-B+X=O.

A

`{:[(7,6,0),(1,3,-5)]:}`

B

`{:[(10,1,2),(3,2,1)]:}`

C

`{:[(7,7,0),(10,3,5)]:}`

D

`{:[(-7,15,0),(-10,7,-7)]:}`

Text Solution

Verified by Experts

The correct Answer is:
D
`A={:[(6,-7,1),(3,-2,1)]:}rArr{:[(12,-14,2),(6,-4,2)]:}`
Given that 2A-B+X=O
2A-B+X2A+B=I+B-2A
(Adding B and subtracting 2A)
X=O+B-2A
`O^(1)={:[(0,0,0),(0,0,0)]:}`
`B={:[(5,1,2),(-4,3,-5)]:}`
`X={:[(0+5-12,0+1+14,0+2-2),(0-4-6,0+3+4,0-5-2)]:}`
`={:[(7,15,0),(-10,7,-7)]:}`.
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