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Q26Section ST (Statistics (Q11–Q65))26 of 65

Determinant of a matrix polynomial

Let P=(12 −14)P = \begin{pmatrix} 1 & 2 \ -1 & 4 \end{pmatrix} and Q=P3−2P2−4P+13I2Q = P^3 - 2P^2 - 4P + 13 I_2, where I2I_2 denotes the identity matrix of order 2. Then the determinant of QQ is equal to __________ (answer in integer).

Numerical answer: type the number (no options).

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