Download the app

Questions  

If B is a non-singular matrix and A is a square matrix, then det (B–1AB) is equal to

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
det (A–1)
b
det (B–1)
c
det (A)
d
det (B)

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

det (B–1AB) = det (B–1) det A det B= det (B–1) × det B × det A = det (B–1B) × det A= det (I) × det A = 1× det A = det A.


Similar Questions

If A=aij3×3 is a matrix satisfying the equation  x33x+1=0 then 


whats app icon
phone icon