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प्रश्न
For the matrix A = `[(1,5),(6,7)]` verify that (A - A') is a skew symmetric matrix.
उत्तर
Now, (A - A') = `[(1,5),(6,7)] - [(1,6),(5,7)]`
`= [(1 - 1, 5 - 6), (6 - 5, 7 - 7)]`
`= [(0, -1), (1,0)]`
Then, (A - A') `= [(0, 1), (-1,0)] = - [(0, -1), (1,0)]`
चूँकि (A - A') = -(A - A'),
Since (A - A') = -(A - A'), it proves that the matrix (A - A') is a skew symmetric matrix.
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