Home
Class 12
MATHS
Let P, Q and R be invertible matrices of...

Let P, Q and R be invertible matrices of order 3 such `A=PQ^(-1), B=QR^(-1)` and `C=RP^(-1)`. Then the value of det. `(ABC+BCA+CAB)` is equal to _______.

Promotional Banner

Similar Questions

Explore conceptually related problems

Let P o* Q are orthogonal matrices of order 3xx3 such that A=PQ^(T)&B=QP^(T). then the value of tr(AB) is equal to

Let A and B be two invertible matrices of order 3xx3 . If det. (ABA^(T)) = 8 and det. (AB^(-1)) = 8, then det. (BA^(-1)B^(T)) is equal to

Let A and B be two invertible matrices of order 3xx3 . If det. (ABA^(T)) = 8 and det. (AB^(-1)) = 8, then det. (BA^(-1)B^(T)) is equal to

Let A and B be two invertible matrices of order 3xx3 . If det. (ABA^(T)) = 8 and det. (AB^(-1)) = 8, then det. (BA^(-1)B^(T)) is equal to

Let A and B be two invertible matrices of order 3xx3 . If det. (ABA^(T)) = 8 and det. (AB^(-1)) = 8, then det. (BA^(-1)B^(T)) is equal to

If A and B are invertible matrices of the same order, then (AB)^-1 is equal to

Let A and B are two square matrices of order 3 such that det. (A)=3 and det. (B)=2 , then the value of det. (("adj. "(B^(-1) A^(-1)))^(-1)) is equal to _______ .

Let A and B are two square matrices of order 3 such that det. (A)=3 and det. (B)=2 , then the value of det. (("adj. "(B^(-1) A^(-1)))^(-1)) is equal to _______ .

Let A and B are two square matrices of order 3 such that det. (A)=3 and det. (B)=2 , then the value of det. (("adj. "(B^(-1) A^(-1)))^(-1)) is equal to _______ .

Let A and B are two square matrices of order 3 such that det. (A)=3 and det. (B)=2 , then the value of det. (("adj. "(B^(-1) A^(-1)))^(-1)) is equal to _______ .