Skip to main contentSkip to solution

A and B are square matrices of order 3 each such that ∣A∣=3,∣B∣=2|A|=3, |B|=2, then the value of ∣4AB∣|4AB| will be?

Solution

✅ Correct Option: 3

For order 33, scaling multiplies the determinant by 43=644^3=64, and ∣AB∣=∣A∣∣B∣=6|AB|=|A||B|=6.

Hence ∣4AB∣=64×6=384|4AB|=64\times6=384.

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question