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प्रश्न
if the matrix A =`[(0,a,-3),(2,0,-1),(b,1,0)]` is skew symmetric, Find the value of 'a' and 'b'
उत्तर
A = `[(1,a,-3),(2,0,-1),(b,1,0)]`
If matrix A is a skew-symmetric matrix then,
`A^T = -A`
`[(0,2,b),(a,0,1),(-3,-1,0)] = -[(0,a,-3),(2,0,-1),(b,1,0)]`
`=> [(0,2,b),(a,0,1),(-3,-1,0)] = [(0,-a,3),(-2,0,1),(-b,-1,0)]`
`=> a = -2 and b = 3`
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