Question: Could this be explained by using a matrix equation and computing the adjugate matrix of a relevant matrix mod 227. Please show all working out

Could this be explained by using a matrix equation and computing the adjugate matrix of a relevant matrix mod 227. Please show all working out on paper.

(4) This question is about secret sharing. (a) You set up a (3, 37) Shamir threshold scheme, working modulo the prime 227. Three of the shares are (1, 4), (2, 8), and (3, 16). Another share is (5, x), but the part denoted by r is unreadable. Find the correct value of x, the relevant polynomial, and the message. Justify all your steps

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