grandes-ecoles 2011 QI.D

grandes-ecoles · France · centrale-maths2__mp Matrices True/False or Multiple-Select Conceptual Reasoning
Write a procedure, in the Maple or Mathematica language, which takes as input a matrix $M \in \mathcal{S}_n(\mathbb{R})$ and which, using the characterization from I.B, returns ``true'' if the matrix $M$ is positive definite, and ``false'' otherwise. 
Write a procedure, in the Maple or Mathematica language, which takes as input a matrix $M \in \mathcal{S}_n(\mathbb{R})$ and which, using the characterization from I.B, returns ``true'' if the matrix $M$ is positive definite, and ``false'' otherwise.
Paper Questions
QI.A.1 QI.A.2 QI.B.1 QI.B.2 QI.B.3 QI.C QI.D QII.A QII.B QII.C QII.D QII.E QII.F QIII.A.1 QIII.A.2 QIII.A.3 QIII.A.4 QIII.A.5 QIII.B.1 QIII.B.2 QIII.B.3 QIII.B.4 QIII.B.5 QIV.A.1 QIV.A.2 QIV.A.3 QIV.A.4 QIV.A.5 QIV.A.6 QIV.B.1 QIV.B.2 QIV.B.3