Minor of a matrix formulation

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Let us consider a matrix:



$$Ain Re^nxn$$



How can i define symbolically his minors $i,j$ obtained from $A$ removing row $i$-th and column $j$-th? Can i use some operators to define them respect to $A$?



For example



$$A_i,j=A....(doing some operations)$$







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  • You can multiply on the left by a suitable $(n-1)times n$ matrix and on the right by a $ntimes (n-1)$ matrix to get the minor.
    – N. Ciccoli
    Aug 28 at 14:41














up vote
0
down vote

favorite












Let us consider a matrix:



$$Ain Re^nxn$$



How can i define symbolically his minors $i,j$ obtained from $A$ removing row $i$-th and column $j$-th? Can i use some operators to define them respect to $A$?



For example



$$A_i,j=A....(doing some operations)$$







share|cite|improve this question




















  • You can multiply on the left by a suitable $(n-1)times n$ matrix and on the right by a $ntimes (n-1)$ matrix to get the minor.
    – N. Ciccoli
    Aug 28 at 14:41












up vote
0
down vote

favorite









up vote
0
down vote

favorite











Let us consider a matrix:



$$Ain Re^nxn$$



How can i define symbolically his minors $i,j$ obtained from $A$ removing row $i$-th and column $j$-th? Can i use some operators to define them respect to $A$?



For example



$$A_i,j=A....(doing some operations)$$







share|cite|improve this question












Let us consider a matrix:



$$Ain Re^nxn$$



How can i define symbolically his minors $i,j$ obtained from $A$ removing row $i$-th and column $j$-th? Can i use some operators to define them respect to $A$?



For example



$$A_i,j=A....(doing some operations)$$









share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Aug 28 at 14:28









iacopo

1106




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  • You can multiply on the left by a suitable $(n-1)times n$ matrix and on the right by a $ntimes (n-1)$ matrix to get the minor.
    – N. Ciccoli
    Aug 28 at 14:41
















  • You can multiply on the left by a suitable $(n-1)times n$ matrix and on the right by a $ntimes (n-1)$ matrix to get the minor.
    – N. Ciccoli
    Aug 28 at 14:41















You can multiply on the left by a suitable $(n-1)times n$ matrix and on the right by a $ntimes (n-1)$ matrix to get the minor.
– N. Ciccoli
Aug 28 at 14:41




You can multiply on the left by a suitable $(n-1)times n$ matrix and on the right by a $ntimes (n-1)$ matrix to get the minor.
– N. Ciccoli
Aug 28 at 14:41















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