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प्रश्न
Show that the matrix A = `[(0,1,-1),(-1,0,1),(1,-1,0)]` is a skew symmetric matrix.
उत्तर
Given, A = `[(0,1,-1),(-1,0,1),(1,-1,0)]`
So, -A = `[(0,-1,1),(1,0,-1),(-1,1,0)] =- [(0,1,-1),(-1,0,1),(1,-1,0)]`
∵ A' = -A, Hence, it is proved that the matrix
A = `[(0,1,-1),(-1,0,1),(1,-1,0)]` is a skew symmetric matrix.
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