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if A=[{:(1,6),(2,4),(-3,5):}]B=[{:(3,4),...

if `A=[{:(1,6),(2,4),(-3,5):}]B=[{:(3,4),(1,-2),(2,-1):}],` then find a matrix C such that 2A-B+c=0

A

`[(1,-8),(-3,-10),(8,-11):}].`

B

`[(0,-8),(-3,-10),(8,-11):}].`

C

`[(0,-8),(-3,-10),(7,-11):}].`

D

`[(5,-8),(-3,-10),(8,-11):}].`

Text Solution

Verified by Experts

The correct Answer is:
A
2A-B+C=0
`implies C=B-2A`
`=[{:(3,4),(1,-2),(2,-1):}]-2[{:(1,6),(2,4),(-3,5):}]`
`=[{:(3,4),(1,-2),(2,-1):}]-[{:(2,12),(4,8),(-6,10):}]=[(1,-8),(-3,-10),(8,-11):}].`
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