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KCET2014MathematicsIndefinite Integration

The symmetric part of the matrix ( A= ( array ccc 1 & 2 & 4 6 & 8 & 2 2 & -2 & 7 array ) ) is

Options

  1. A( ( array lll 1 & 4 & 3 2 & 8 & 0 3 & 0 & 7 array ) )
  2. B( ( array lll 1 & 4 & 3 4 & 8 & 0 3 & 0 & 7 array ) )
  3. C( ( array ccc 0 & -2 & -1 -2 & 0 & -2 -1 & -2 & 0 array ) )
  4. D( ( array ccc 0 & -2 & 1 2 & 0 & 2 -1 & 2 & 0 array ) )

Correct answer

B. ( ( array lll 1 & 4 & 3 4 & 8 & 0 3 & 0 & 7 array ) )

Step-by-step solution

Given that ( A= [ array ccc 1 & 2 & 4 6 & 8 & 2 2 & -2 & 7 array ] ) Symmetric part of A matrix is ( 1 2 (A+A^ ) ) ( = 1 2 [ array ccc 1 & 2 & 4 6 & 8 & 2 2 & -2 & 7 array ]+ [ array ccc 1 & 6 & 2 2 & 8 & -2 4 & 2 & 7 array ] ) ( = [ array lll 1 & 4 & 3 4 & 8 & 0 3 & 0 & 7 array ] )

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