If the determinant of the matrix A=[0ab−a0β−bα0] is zero for all a,b then α+β=

∴ A is skew symmetric matrix. Hence, α=−β⇒α+β=0

∴ A is skew symmetric matrix. Hence, α=−β⇒α+β=0

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If the determinant of the matrix $A = [\begin{matrix} 0 & a & b \\ - a & 0 & β \\ - b & α & 0 \end{matrix}]$ is zero for all a,b then $α + β =$

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$∴$ A is skew symmetric matrix. Hence, $α = - β \Rightarrow α + β = 0$

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