Home
Class 12
MATHS
If A and B are non-singular matrices of ...

If A and B are non-singular matrices of order `3times3` ,such that `A=( adj B)` and` B=( adjA )`then `det(A )+det(B)` is equal to

Promotional Banner

Similar Questions

Explore conceptually related problems

If A and B are non - singular matrices of order 3xx3 , such that A=(adjB) and B=(adjA) , then det (A)+det(B) is equal to (where det(M) represents the determinant of matrix M and adj M represents the adjoint matrix of matrix M)

If A, B are two non-singular matrices of same order, then

If A and B are two non-singular matrices of order 3 such that A A^(T)=2I and A^(-1)=A^(T)-A . Adj. (2B^(-1)) , then det. (B) is equal to

A and B are two non-singular square matrices of each 3xx3 such that AB = A and BA = B and |A+B| ne 0 then

Let A and B are two non - singular matrices of order 3 such that A+B=2I and A^(-1)+B^(-1)=3I , then AB is equal to (where, I is the identity matrix of order 3)

If A and B are squar matrices of order 3 such that |A|=-1, |B|=3 then |3AB| is equal to

If A; B are non singular square matrices of same order; then adj(AB) = (adjB)(adjA)

Let A and B are two non - singular matrices of order 3 such that |A|=3 and A^(-1)B^(2)+2AB=O , then the value of |A^(4)-2A^(2)B| is equal to (where O is the null matrix of order 3)

If A,B,C are non - singular matrices of same order then (AB^(-1)C)^(-1)=

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