For two `3xx3` matrices A and B, let `A+B=2B'` and `3A+2B=I_3` where `B'` is the transpose of B and `I_3` is `3xx3` identity matrix, Then:

Find the matrices A and B when A+B = 2B^(t) and 3A+2B=I_(3) where B^(t) denotes the transpose of B and I_(3) is the identity matrix of order 3.

If P is a 3xx3 matrix such that P^(T)=2P+I where P^(T) is the transpose of P and I is the 3xx3 identity matrix,then there exists a column matrix,X=[[xyz]]!=[[000]] such that

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)

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)

Let A and B be two 3xx3 matrices such that A+B = 2 B' and 3A + 2B= I then

Let A,B are two non singular matrices such that AB=BA^(3) and B^(2)=1 and A^(n)=I , (n in N) then minimum value of n is ( I is identity matrix) (A, B!=I)

Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What is det (2AB) equal to ?

If A+ B = C where B and A are matrices of order 3xx3 then the order of matrix C is :

Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3. What is det (2AB) equal to ?

A and B arer two matrices of order 3 × 3 which satisfy AB = A and BA = B. then (A+I)^(5) is equal to (where I is identify matrix)___