Question: Exercise 2 (10 points) Let 4 0 -1 A= 0 4 1 -1 1 5 i) Using the structure of the matrix A and the

Exercise 2 (10 points) Let 4 0 -1 A= 0 4 1 -1 1 5 i) Using the structure of the matrix A and the Gershgorin circle theorem, find the smallest interval containing the eigenvalues of A (without actually computing them here). ii) Compute ||A|2. iii) Decompose the matrix as A = QAQT, where @ is an orthogonal matrix and A is a diagonal matrix

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