Find the matrix A such that `|A|=2\ a n d\ a d j(A)=[(2, 2, 0),( 2, 5, 1),( 0, 1, 1)]`

Find the matrix A such that |A|=2 and a d j\ A=[[2, 2, 0],[ 2, 5, 1],[ 0, 1, 1]] .

If A is a square matrix such that A(a d j\ A)=[(5, 0, 0),(0, 5, 0),(0, 0, 5)] , then write the value of |a d j\ A| .

Find a 2xx2 matrix B such that B[(1,-2),( 1, 4)]=[(6, 0),( 0, 6)] .

Let A=[(1, 2), (3,-5)] and B=[(1, 0), (0, 2)] and X be a matrix such that A=B X , then X is equal to (a) 1/2[(2, 4), (3, -5)] (b) 1/2[(-2, 4), (3, 5)] (c) [(2, 4), (3,-5)] (d) none of these

Find the matrix A satisfying the matrix equation [(2, 1),( 3, 2)]A[(-3, 2),( 5,-3)]=[(1, 0 ),(0, 1)] .

Find the inverse the matrix (if it exists)given in [(1, 2, 3),( 0, 2, 4),( 0, 0, 5)]

Find a matrix X such that A+2B+X=0 where A= [[2,-1],[3,5]], B[[-1,1],[0,2]]

Find the matrix A satisfying the matrix equation [2 1 3 2]A[-3 2 5-3]=[1 0 0 1]

Find the non-singular matrices A , if it is given that a d j\ (A)=[-1-2 1 3 0-3 1-4 1] .

Find the matrix X satisfying the equation: [[2, 1 ],[5, 3]]X[[5, 3],[ 3 ,2]]=[[1, 0],[ 0 ,1]] .