In this post, I am going to discuss few properties regarding inverse of matrices and its uniqueness. If, we have any square matrix A then we cannot have more than one inverse of matrix A. In other words, we can say that inverse of any matrix is unique.
Archives for March 2012
How to find Inverse of a Matrix ?
Inverse of matrix is calculated using adjoint and determinant of matrix. The inverse of matrix A = adj (A) /|A| i.e inverse of any matrix A is equal to adjoint of A divided by determinant of A. In the last posts, I discussed about calculating adjoint and determinant of matrices.
How to find Adjoint of Matrix ?
In the last posts, I discussed about finding co-factors of all the elements present in the matrix. To find adjoint of a given matrix, we simply replace all the elements present in the matrix by their co-factors and then we take transpose of the matrix. The resultant matrix is the
How to calculate determinant of matrix using Co-factors?
In the last post, I discussed about calculating minor of each element present in the matrix. Also, In the last posts, I discussed about calculating determinants of matrices. You will notice here that the method I used there was related to co-factors. To understand how
Co-factors of Elements of Matrix
In the last post, I discussed about calculating minors of elements of given matrix. Co-factor is not very different from minors in some sense. Almost Half of the elements present in the matrix have same co-factors as their minors whereas, the rest have co-factors equal