If the matrix A = \left[\begin{array}{ccc}0 & 1 & −1 \ 4 & −3 & 4 \ 3 & −3 & 4 \ ]\end{array} = B + C, where B is symmetric and C is a skew-symmetric matrix, find the matrix B

Correct Answer is : 12[0525−61218]

\frac{1}{2}\left[\begin{array}{ccc}0 & 3 & 4 \ −3 & 0 & −7 \ −4 & 7 & 0 \ ]\end{array}

\frac{1}{2}\left[\begin{array}{ccc}0 & 5 & 2 \ 5 & −6 & 1 \ 2 & 1 & 8 \ ]\end{array}

\frac{1}{2}\left[\begin{array}{ccc}0 & 1 & 2 \ 1 & −2 & 1 \ 1 & 2 & 4 \ ]\end{array}

\frac{1}{2}\left[\begin{array}{ccc}0 & −3 & −4 \ 3 & 0 & 7 \ 4 & −7 & 0 \ ]\end{array}

AAI ATC Junior Executive 27 Jul 2022 Shift 2 Paper

Question : 97 of 120

Marks: +1, -0

If the matrix A =

{[\table 0 , 1 , −1 ; 4 , −3 , 4 ; 3 , −3 , 4 ; ]}

= B + C, where B is symmetric and C is a skew-symmetric matrix, find the matrix B

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