Answer Happy

a1=2 a2=0 a3=1 a4=3
a5=1 a6=4 a7=0 a8=1
a9=9
QUESTION 2: Let A be a 3x3 symmetric matrix whose eigenvalues are 11 = 26 and 12 = 2g with algebraic multiplicities E1 = 2 and €2 = 1, resdpectively. Let W1 = (1,-1,1). W2 = (1,1,1). W3 = (1,0, -1) If {W4, W2} is a basis for the eigenspace of A that corresponds to 14 and {W3} is a basis for the eigenspace of A that corresponds to 12. • Find an orthonormal basis for R3 which consists of eigenvectors of A. Find the matrix A.