Eigenvectors and Eigenvalues of a Decomposition of a Symmetric Matrix 1/3 puntos (calificado) Let ARdd be a symmetric matrix, and suppose that A=PDPT where - P is a dd orthogonal matrix, and - D is a diagonal matrix. Suppose that the diagonal entries of D are all equal to >0 (i.e., for 1id, we have Dii=>0 ). For 1id, let vi denote the i-th column of P. Using the decomposition above, express Av1 in terms of and v1. Input your answer for i=1. Use v1 for v1. Which of the following properties does v1 have? (Choose all that apply.) v1 is a square matrix. v1 is an eigenvalue of A. v1 is an eigenvector of A. Which of the following properties does A have? (Choose all that apply.) A is symmetric. A is positive semidefinite. A is positive definite