Chapter: Linear Equations in Two Variables· Mathematics Part 1 (Algebra)

The value of the determinant \(\begin{vmatrix} 3 & -2 \\ 4 & 5 \end{vmatrix}\) is ____.

A. 7

B. 23

C. −7

D. −23

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Answer: (b) 23

\(\begin{vmatrix} 3 & -2 \\ 4 & 5 \end{vmatrix} = (3)(5) - (-2)(4) = 15 + 8 = 23\). A common mistake is to write \(15 - 8 = 7\); remember \(-(-8) = +8\).

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The value of the determinant \(\begin{vmatrix} 3 & -2 \\ 4 & 5 \end{vmatrix}\) is ____.

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