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asked 7 years ago

Deepak Sarma gravatar image

Submatrix of a given matrix

How to obtain submatrix of a given matrix of any size? Actually I have a matrix A of order n×n with all non-singlular submatrices of order n1 and n2. Now I need another matrix B whose (i,j)th entry is detA(i,j)detA(i), where detA(i,j) denote the determinant of the sub matrix of A formed by deleting ith and jth rows and columns, and detA(i) denote the determinant of the sub matrix of A formed by deleting ith row and column. I'm unable to generate the submatrices A(i,j) for every element.

Submatrix of a given matrix

How to obtain submatrix of a given matrix of any size? Actually I have a matrix A of order n×n with all non-singlular submatrices of order n1 and n2. Now I need another matrix B whose (i,j)th entry is detA(i,j)detA(i), where detA(i,j) denote the determinant of the sub matrix of A formed by deleting ith and jth rows and columns, and detA(i) denote the determinant of the sub matrix of A formed by deleting ith row and column. I'm unable to generate the submatrices A(i,j) for every element.

Submatrix of a given matrixmatrix by deleting some rows and columns(For my case 2 rows and columns).

How to obtain submatrix of a given matrix of any size? Actually I have a matrix A of order n×n with all non-singlular submatrices of order n1 and n2. Now I need another matrix B whose (i,j)th entry is detA(i,j)detA(i), detA(i,j), where detA(i,j) denote the determinant of the sub matrix of A formed by deleting ith and jth rows and columns, and columns. detA(i) denote the determinant of the sub matrix of A formed by deleting ith row and column. I'm unable to generate the submatrices A(i,j) for every element.element at a time.

Submatrix of a given matrix by deleting some rows and columns(For my case 2 rows and columns).

How to obtain submatrix of a given matrix of any size? Actually I have a matrix A of order $n\times nwithallnonsinglularsubmatricesofordern-2$. n$. Now I need another matrix B whose (i,j)th entry is detA(i,j), where detA(i,j) denote the determinant of the sub matrix of A formed by deleting ith and jth rows and columns. I'm unable to generate the submatrices A(i,j) for every element at a time.