Question
Question: If B is non-singular matrix and A is a square matrix of same size, then det (B<sup>–1</sup> AB) =...
If B is non-singular matrix and A is a square matrix of same size, then det (B–1 AB) =
A
|A–1|
B
|B–1|
C
|B|
D
|A|
Answer
|A|
Explanation
Solution
|B–1 .A.B| = |B–1|. |A| . |B|
= (|B–1|. |B|). |A|
= 1 × |A| (Q |B–1|. |B| = 1)
= |A|