Find the value of the following determinant. beginvmatrix 7/3 & 5/3 \\ 3/2 & 1/2 endvmatrix

Answer: -4/3 Value of a determinant = ad - bc . = 7/3×1/2 - 5/3×3/2 = 7/6 - 15/6 = -8/6 = -4/3

Find the value of the determinant |7/3 5/3; 3/2 1/2|

Find the value of the following determinant.

\[\begin{vmatrix} \frac{7}{3} & \frac{5}{3} \\ \frac{3}{2} & \frac{1}{2} \end{vmatrix}\]

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

Answer: \(-\frac{4}{3}\)

Value of a determinant \(= ad - bc\).

\[= \frac{7}{3}\times\frac{1}{2} - \frac{5}{3}\times\frac{3}{2}\]\[= \frac{7}{6} - \frac{15}{6} = -\frac{8}{6} = -\frac{4}{3}\]

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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