Let `M` be a `3xx3` matrix satisfying `M[0 1 0]=M[1-1 0]=[1 1-1],a n dM[1 1 1]=[0 0 12]` Then the sum of the diagonal entries of `M` is _________.

Let M be a 3xx3 matrix satisfying M[[0], [1] ,[0]]=[[-1], [2], [3]] , M[[1],[-1], [0]]=[[1], [1],[-1]],and M[[1], [1], [1]]=[[0] ,[0], [12]] Then the sum of the diagonal entries of M is _________.

If A=[(0,1,2),(1,2,3),(3,1,1)] , then the sum of the all the diagonal entries of A^(-1) is

The matrix A satisfying A[[1, 5], [0, 1]]=[[3, -1], [6, 0]] is

Let M be a 3xx3 matrix satisfying M[{:(0),(1),(0):}]=[{:(-1),(2),(3):}],M[{:(1),(-1),(0):}]=[{:(1),(1),(1):}]=[{:(0),(0),(12):}] then the sum of the diagonal entries of M is

The matrix A satisfying A[(1,5),(0,1)]=[(3,-1),(-1,4)] is

If m=[[1,00,1]] and n=[[0,1-1,0]], then what m cos theta-n sin theta