Maths-
General
Easy

Question

If B is non-singular matrix and A is a square matrix of same size, then det (B–1 AB) =

  1. |A–1|    
  2. |B–1|    
  3. |B|    
  4. |A|    

The correct answer is: |A|


    |B–1 .A.B| = |B–1|. |A| . |B|
    = (|B–1|. |B|). |A|
    = 1 × |A| (because |B–1|. |B| = 1)
    = |A|

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