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Given that \(P = \begin{pmatrix} y - 2 & y - 1 \\ y - 4 ...

Given that P=(y2y1y4y+2) and |P| = -23, find the value of y.

A.

-4

B.

-3

C.

-1

D.

2

Correct answer is B

P = begin{pmatrix} y - 2 & y - 1 \\ y - 4 & y + 2 \end{pmatrix}

|P|=(y2)(y+2)(y1)(y4)=(y24)(y25y+4)=23

5y8=235y=23+8=15

y=155=3