Home
Class 12
MATHS
Let P & Q are orthogonal matrices of ord...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

If A and B are square matrices of order 3 such that "AA"^(T)=3B and 2AB^(-1)=3A^(-1)B , then the value of (|B|^(2))/(16) is equal to

If A and B are square matrices of order 3 such that "AA"^(T)=3B and 2AB^(-1)=3A^(-1)B , then the value of (|B|^(2))/(16) is equal to

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 _______.

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 _______.

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 _______.

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 _______.

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.