engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Linear Algebra Matrix Algebra
Matrix \(A = \left[ {\begin{array}{*{20}{c}} 0&{2\beta }&\gamma \\ \alpha &\beta &{ - \gamma }\\ \alpha &{ - \beta }&\gamma \end{array}} \right]\) is orthogonal. The values of α, β and γ respectively are
1
\(\pm \frac{1}{{\sqrt 3 }},\; \pm \frac{1}{{\sqrt 2 }},\; \pm \frac{1}{{\sqrt 6 }}\)
2
\(\pm \frac{1}{{\sqrt 3 }},\; \pm \frac{1}{{\sqrt 6 }},\; \pm \frac{1}{{\sqrt 2 }}\)
3
\(\pm \frac{1}{{\sqrt 6 }},\; \pm \frac{1}{{\sqrt 3 }},\; \pm \frac{1}{{\sqrt 2 }}\)
4
\(\pm \frac{1}{{\sqrt 2 }},\; \pm \frac{1}{{\sqrt 6 }},\; \pm \frac{1}{{\sqrt 3 }}\)