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determined by the eigenvalues and eigenvectors of the matrix 𝐴. Let’s see an example. Example Let the matrix 𝐴 = [[5,4],[4,5]]. The eigenvalues of 𝐴 are 1 and 9 which are both positive. Hence A is a positive definite matrix. Next, let’s compute 𝑥⃗⊺𝐴𝑥⃗. Here 𝑥⃗=[𝑥1, 𝑥2]. So we’ve got 𝑥⃗⊺𝐴𝑥⃗ =