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The symmetric part of the matrix A=[(1,2...

The symmetric part of the matrix `A=[(1,2,4),(6,8,2),(2,-2,7)]` is equal to

A

`[(0,-2,-1),(-2,0,-2),(-1,-2,0)]`

B

`[(1,4,3),(2,8,0),(3,0,7)]`

C

`[(0,-2,1),(2,0,2),(-1,2,0)]`

D

`[(1,4,3),(4,8,3),(3,0,7)]`

Text Solution

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The correct Answer is:
D
Given matrix `A=[(1,2,4),(6,8,2),(2,-2,7)]`
`:.` Symmetric part of `A=1/2(A+A')`
`=1/2{[(1,2,4),(6,8,2),(2,-2,7)]+[(1,6,2),(2,8,-2),(4,2,7)]}`
`=1/2[(2,8,6),(8,16,0),(6,0,14)]=[(1,4,3),(4,8,0),(3,0,7)]`
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