sir/mam pls give me best TRICK to FIND INVERSE OF A MATRIX (EXPLAIN)

Asked by  | 14th Mar, 2010, 01:27: AM

Expert Answer:

The SURE and straightforward method would be by adjoint.

To find inverse of a given matrix A, follow the steps.

Cofactor of an element aij = (-1)i+j x determinant obtained after excluding the ith row and jth column.

1/ Find the cofactors of all the elements.

2/ Replace all the elements in the matrix by their cofactors.

3/ Take the transpose of the matrix, and it's the adjoint of the given matrix A, denoted by adj(A).

4/ Divide adj(A) by determinant of A, and you'll have the inverse of A.





Answered by  | 14th Mar, 2010, 07:56: AM

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