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Question

Find the determinant of the 2×22 \times 2 matrix P=(4325)P = \begin{pmatrix} 4 & 3 \\ 2 & 5 \end{pmatrix}

Verified Answer

14

Explanation & Step-by-Step Solving

Context: The determinant of a matrix (abcd)\begin{pmatrix} a & b \\ c & d \end{pmatrix} is evaluated as ad−bcad - bc:det⁡(P)=(4×5)−(3×2)=20−6=14\det(P) = (4 \times 5) - (3 \times 2) = 20 - 6 = 14

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