If `A=[(1,-4,-1),(6,3,0),(2,0,0)]` then `6|A^(-1)|` is equal to

If for a matrix A , absA=6 and adj A={:[(1,-2,4),(4,1,1),(-1,k,0)]:} , then k is equal to

The area of the quadrilateral ABCD where A(0,4,1), B(2,3,-1), C(4,5,0) and D(2,6,2), is equal to

If [ (1, 2),(-2,-b)]+ [(a,4),(3,2)]=[(5,6),(1,0)] , then a^(2) + b^(2) is equal to

If A=[[0,0,1] , [0,1,0] , [1,0,0]] then A^6=

If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),( -1,-2,x-3,1),(2,0,4,x^(2)-6) :}] is 0 then x is equal to

If A is any 2 xx matrix such that [{:(1,2),(0,3):}]A=[{:(-1,0),(6,3):}] then what is A equal to ?

If A=[(1, 0,0),(0,1,0),(a,b,-1)] and I is the unit matrix of order 3, then A^(2)+2A^(4)+4A^(6) is equal to