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Posted: **Thu Jun 30, 2022 7:34 pm**

: Problem 3 Let T Be The Linear Mapping R2 R2 Given By The Matrix A B 88 B A A Is Called A Symmetric Matrix Fi 1 (19.25 KiB) Viewed 39 times

Problem 3. Let T be the linear mapping R2 → R2 given by the matrix a b - (88) = b A (A is called a symmetric matrix). Find the minimal polynomial of T. Show that T always has two real (not necessarily distinct) eigenvalues. Show that there is always a basis of eigenvectors for T.