Let_9,424344250807439 be your student id number. QUESTION 1: Let A be a 3x3 matrix so that A.V, = 25.V. (A-13).v2 = 97.V

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Let 9 424344250807439 Be Your Student Id Number Question 1 Let A Be A 3x3 Matrix So That A V 25 V A 13 V2 97 V 1 (26.21 KiB) Viewed 57 times

Let_9,424344250807439 be your student id number. QUESTION 1: Let A be a 3x3 matrix so that A.V, = 25.V. (A-13).v2 = 97.V2 (A+13).V3 = 29. Vz Find the matrix A. (Hint: You can use definition of eigenvalues and eigenvectors) QUESTION 2: Let A be a 3x3 symmetric matrix whose eigenvalues are 14 = Q, and 12 = Qg with algebraic multiplicities & , = 2 and Eq=1resdpectively. Let W, = (1,-1,1). W2 = (1,1,1). W3 = (1,0,-1) if{W,W2} is a basis for the eigenspace of A that corresponds to A, and {W}} is a basis for the eigenspace of A that corresponds to Az. Find an orthonormal basis for R which consists of eigenvectors of A. Find the matrix A