Question: Solve it A.7.2. Let A be an n x n symmetric matrix; then (x' Ax) max = AMAX X:x=/0 x'X and (x' Ax) min =AMIN

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A.7.2. Let A be an n x n symmetric matrix; then (x' Ax) max = AMAX X:x=/0 x'X and (x' Ax) min =AMIN , x:x/0 x'x where AMIN and AMAX are the minimum and maximum eigenvalues of A. These values occur when x is the eigenvector corresponding to the eigenvalues AMIN and AMAX, respectively

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