Let A and B be two invertible matrices of order 3 x 3. If det(ABAT)=8 and det(AB−1) = 8, then det (BA−1 BT) is equal to :-
a.
16
b.
c.
d.
1
a.
16
b.
c.
d.
1
Question ID - 57142 | SaraNextGen Top Answer Let A and B be two invertible matrices of order 3 x 3. If det(ABAT)=8 and det(AB−1) = 8, then det (BA−1 BT) is equal to :-
a.
16
b.
c.
d.
1
Let A and B be two invertible matrices of order 3 x 3. If det(ABAT)=8 and det(AB−1) = 8, then det (BA−1 BT) is equal to :-
|
a. |
16 |
b. |
|
|
c. |
|
d. |
1 |
1 Answer
127 votes
2.
= 8 and
= 8 ⇒ 
= 4 and 
= 
det (
= 
× 
= 
127