Question: (a) Prove that a diagonal matrix D = diag(c1,c2, ...,cn) is positive definite if and only if all its diagonal entries are positive: c, >

(a) Prove that a diagonal matrix
D = diag(c1,c2, ...,cn) is positive definite if and only if all its diagonal entries are positive: c, > 0.
(b) Write down and identify the associated inner product.

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