Illustrate that for any vector dot is greater than zero


Consider A be a real, symmetric 3x3 matrix with distinct, positive eigenvalues lambda1, lambda2, and lambda3. Consider b1, b2, and b3 be respective eigenvectors. Illustrate that for any vector in R3, v dot (Av) is greater than or equal to zero.

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Mathematics: Illustrate that for any vector dot is greater than zero
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