Ask Your Question

# Revision history [back]

### Submatrix of a given matrix

How to obtain submatrix of a given matrix of any size? Actually I have a matrix A of order $n\times n$ with all non-singlular submatrices of order $n-1$ and $n-2$. Now I need another matrix B whose (i,j)th entry is $\frac{det A(i,j)}{det A(i)}$, where $det A(i,j)$ denote the determinant of the sub matrix of A formed by deleting $i^{th}$ and $j^{th}$ rows and columns, and $det A(i)$ denote the determinant of the sub matrix of A formed by deleting $i^{th}$ 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 $n\times n$ with all non-singlular submatrices of order $n-1$ and $n-2$. Now I need another matrix B whose (i,j)th entry is $\frac{det A(i,j)}{det A(i)}$, where $det A(i,j)$ denote the determinant of the sub matrix of A formed by deleting $i^{th}$ and $j^{th}$ rows and columns, and $det A(i)$ denote the determinant of the sub matrix of A formed by deleting $i^{th}$ 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 $n\times n$ with all non-singlular submatrices of order $n-1$ and $n-2$. Now I need another matrix B whose (i,j)th entry is $\frac{det A(i,j)}{det A(i)}$, $det A(i,j)$, where $det A(i,j)$ denote the determinant of the sub matrix of A formed by deleting $i^{th}$ and $j^{th}$ rows and columns, and columns. $det A(i)$ denote the determinant of the sub matrix of A formed by deleting $i^{th}$ 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 $n\times n$ with all non-singlular submatrices of order $n-2$. n$. Now I need another matrix B whose (i,j)th entry is$det A(i,j)$, where$det A(i,j)$denote the determinant of the sub matrix of A formed by deleting$i^{th}$and$j^{th}$rows and columns. I'm unable to generate the submatrices$A(i,j)\$ for every element at a time.