Question: (a) Prove that every positive definite matrix K has a unique positive definite square root, i.e., a matrix B > 0 satisfying B2 = K.

(a) Prove that every positive definite matrix K has a unique positive definite square root, i.e., a matrix B > 0 satisfying B2 = K.
(b) Find the positive definite square roots of the following matrices:

(i) (1 1) (ii) (-1 2 0 0 (iii)05 0 6-4 (iv) 4 6-1 IV 1-11

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