Evaluate by Chio's method: `[(0,-1,2,3),(1,2,-1,1),(1,1,2,3),(3,2,1,0)]`

Let a be a 3xx3 matric such that [(1,2,3),(0,2,3),(0,1,1)]=[(0,0,1),(1,0,0),(0,1,0)] , then find A^(-1) .

Find the mode of the following data 0,1,2,1,3,3,2,1,0,3,2,1,4,2,0,3,3,2,1,4,2,1,3,3,1.

Using elementry transformation, find the inverse of the matrix. [{:(,0,1,2),(,1,2,3),(,3,1,1,):}]

Find the value of x such that [(1,x,1)][(1, 3, 2),( 2, 5, 1), (15, 3, 2)][(1),( 2),(x)]=0

Find the rank of the matrix : [[-1,-3,3,-1],[1,1,-1,0],[2,-5,2,-3],[-1,1,0,1]]

4) find the rank of [[1,-3,1,2],[0,1,2,3],[3,4,1,-2]]

Evaluate the determinants (i) |(3,-1,-2),( 0, 0,-1),( 3,-5, 0)| (ii) |(3,-4, 5), (1, 1,-2),( 2, 3, 1)| (iii) |(0, 1, 2),(-1, 0,-3),(-2, 3, 0)| (iv) |(2,-1,-2),( 0, 2,-1),( 3,-5, 0)|

Evaluate the following : [[1,-1],[0,2],[2,3]]([[1,0,2],[2,0,1]]-[[0,1,3],[1,0,2]])

Evaluate : [[1,3,5]][[1,0,3],[2,0,1],[0,1,2]][[1],[4],[6]]

Find the rank of matrix.A= [[3,1,2,0],[1,0,-1,0],[2,1,3,0]]