Saturday, 6 September 2008

Adjoint and Inverse Matrix } Their relationship

There is a common misunderstanding among math learners over the common term in matrices.
The two terms are the Adjoint and Inverse matrix.

The operation to get them is somewhat always confused and "mixed up".

Here to clear and simplify their differences:
- Adjoint matrix
It is obtained through the co-factors of each elements within the matrix. After which the matrix is transposed. It stops there.

- Inverse matrix
The adjoint matrix forms part of this inverse matrix!
Inverse matrix needs a further computation of the determinant also.
The final outcome is the adjoint matrix divided by this determinant value.

Therefore in summary, inverse matrix is formed out of the adjoint matrix.
They are husband and wife, with the kids, the minor and co-factors in them.


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