grandes-ecoles 2014 QVI

grandes-ecoles · France · centrale-maths1__mp Matrices Determinant and Rank Computation
For $\lambda \in \mathbb{R}$, calculate the determinant of the matrix $A_\lambda \in \mathcal{M}_d(\mathbb{R})$ having only 1's off the diagonal and only $\lambda$ on the diagonal. 
For $\lambda \in \mathbb{R}$, calculate the determinant of the matrix $A_\lambda \in \mathcal{M}_d(\mathbb{R})$ having only 1's off the diagonal and only $\lambda$ on the diagonal.
Paper Questions
QIA QIB QIC QID QIE QIIA QIIB QIIC QIIIA1 QIIIA2 QIIIA3 QIIIB1 QIIIB2 QIIIB3 QIIIB4 QIVA QIVB QIVC QVA QVB QVC QVD QVE QVF QVG QVH QVI QVJ