JEE Main 2007Annual, Paper 1MathematicsEasyMatrices and Determinants245× since 2002Let A=∣55αα0α5α005∣.A = \left| {\matrix{ 5 & {5\alpha } & \alpha \cr 0 & \alpha & {5\alpha } \cr 0 & 0 & 5 \cr } } \right|.A=5005αα0α5α5. If ∣A2∣=25,\,\,\left| {{A^2}} \right| = 25,A2=25, then ∣α∣\,\left| \alpha \right|∣α∣ equalsAOption A. 1/51/51/5BOption B. 555COption C. 52{5^2}52DOption D. 111CheckSkip · show solution
