Question
Question: If B is a non-singular matrix and A is a square matrix, then det (B<sup>–1</sup> AB) is equal to –...
If B is a non-singular matrix and A is a square matrix, then det (B–1 AB) is equal to –
A
det (A–1)
B
det (B–1)
C
det (1)
D
det (2)
Answer
det (1)
Explanation
Solution
det (B–1 AB) = det (B–1) det A det B= det (B–1).det B. det A = det (B–1 B).det
A= det (I).det A = 1.det A = det A.
Hence (3) is correct.