Home
Class 12
MATHS
Prove that the inverse of [[A,O],[B,C]] ...

Prove that the inverse of `[[A,O],[B,C]]` is
`[[A^(-1),O],[-C^(-1)BA^(-1),C^(-1)]]` , where A, Care non-singular matrices and
O is null matrix and find the inverse. `[[1,0,0,0],[1,1,0,0],[1,1,1,0],[1,1,1,1]]`

Promotional Banner

Similar Questions

Explore conceptually related problems

The inverse of [[0, 0, 1], [0, 1, 0], [1, 0, 0]] is

The inverse of [(0,1,0),(1,0,0),(0,0,1)] is

The inverse of the matrix [[1,1,1],[0,2,1],[1,0,1]] is,

If B and C are non-singular matrices and O is null matrix, then show that [[A, B],[ C ,O]]^(-1)=[[O, C^(-1)],[B^(-1),-B^-1A C^(-1)]]dot

If B and C are non-singular matrices and O is null matrix, then show that [[A, B],[ C ,O]]^(-1)=[[O, C^(-1)],[B^(-1),-B^-1A C^(-1)]]dot

If B and C are non-singular matrices and O is null matrix, then show that [[A, B],[ C ,O]]^(-1)=[[O, C^(-1)],[B^(-1),-B^-1A C^(-1)]]dot

If B and C are non-singular matrices and O is null matrix, then show that [[A, B],[ C ,O]]^(-1)=[[O, C^(-1)],[B^(-1),-B^-1A C^(-1)]]dot

If B and C are non-singular matrices and O is null matrix,then show that [[A,BC,O]]^(-1)=[[O,C^(-1)B^(-1),-B^(1)AC^(-1)]]

Find the inverse of the matrix [[0,1,21,2,33,1,1]]