Let det M denotes the determinant of the matrix M. Let A and B be 3 × 3 matrices with det A = 3 and det B = 4. Then the
Here's the idea in simple terms: formula det(kA)=k³detA for 3×3. So det(2AB)=2³·detA·detB=8×3×4=96. Complete calculation step by step.
Ref: NCERT Mathematics Class XII — Matrices and Determinants