Question 2 Let A Be A 3 X 3 Symmetric Matrix Whose Eigenvalues Are 1 Ag And 12 0g With Algebraic Multiplicities E1 1 (18.2 KiB) Viewed 69 times
a6=5
a8=0 QUESTION 2: Let A be a 3 x 3 symmetric matrix whose eigenvalues are 1,= ag and 12 = 0g with algebraic multiplicities E1 = 2 and 2 = 1. resdpectively. Let w= (1.-1.1), W2 = (1,1,1). Wy=(1,0,-1) {W,W) is a basis for the eigenspace of A that corresponds to 1, and (w) is a basis for the eigenspace of A that corresponds to 12. • Find an orthonormal basis for R' which consists of eigenvectors of A. • Find the matrix A.
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