Question: 4. Let a k x k matrix C be defined by Eq. (8.3.13). (a) Find the conditions on the constants a, b, and k such

4. Let a k x k matrix C be defined by Eq. (8.3.13).

(a) Find the conditions on the constants

a, b, and k such that C is positive definite.

(b) Find the conditions on the constants

a, b, and k such that C is positive semi-definite.

(c) Find the conditions on the constants

a, b, and k such that C² = C.

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