GATE 2019 BT – Question 30
Engineering Mathematics · Linear Algebra: Matrices and determinants, systems of linear equations, eigenvalues and eigenvectors · 1 mark · Numerical answer
For $$A=\begin{pmatrix}0&6\\p&0\end{pmatrix},$$ find p that makes A skew-symmetric.
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Correct answer: -6 to -6
Explanation
Skew symmetry requires $A^T=-A$. The diagonal entries are already zero, and the off-diagonal entries must be negatives of one another. Hence p = −6.
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