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 _________.

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

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

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

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

M xx[[1,01,2]]=[1,2] Find matrix M

Let A be a 3times3 real matrix such that A([1],[0],[1])=2([1],[0],[1]),A([-1],[0],[1])=4([-1],[0],[1]),A([0],[1],[0])=2([0],[1],[0]) Then,the system (A-3I)([x],[y],[z])=([1],[2],[3]) has :

" Let "A" be a "3times3" matrix such that "A[[1,2,3],[0,2,3],[0,1,1]]=[[0,0,1],[1,0,0],[0,1,0]]" .Then "A^(-1)" is "