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LinearAlgebra[Generic][MinorExpansion] - compute the determinant of a square Matrix by minor expansion
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Calling Sequence
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MinorExpansion[R](A)
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Parameters
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R
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the domain of computation, a commutative ring
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A
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a square Matrix of values in R
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Description
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The (indexed) parameter R, which specifies the domain of computation, a commutative ring, must be a Maple table/module which has the following values/exports:
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R[`0`] : a constant for the zero of the ring R
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R[`1`] : a constant for the (multiplicative) identity of R
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R[`+`] : a procedure for adding elements of R (nary)
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R[`-`] : a procedure for negating and subtracting elements of R (unary and binary)
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R[`*`] : a procedure for multiplying elements of R (binary and commutative)
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R[`=`] : a boolean procedure for testing if two elements of R are equal
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Examples
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![with(LinearAlgebra[Generic])](/support/helpjp/helpview.aspx?si=4540/file06056/math75.png)
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![R[`0`], R[`1`], R[`+`], R[`-`], R[`=`] := 0, 1, `+`, `-`, `=`](/support/helpjp/helpview.aspx?si=4540/file06056/math79.png)
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![R[`0`], R[`1`], R[`+`], R[`-`], R[`=`] := 0, 1, `+`, `-`, `=`](/support/helpjp/helpview.aspx?si=4540/file06056/math82.png)
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R[`*`] := proc(f,g) expand(f*g) end: # polynomial multiplication
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![A := Matrix([[u, v, w], [v, u, v], [w, v, u]])](/support/helpjp/helpview.aspx?si=4540/file06056/math90.png)
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![A := Matrix([[u, v, w], [v, u, v], [w, v, u]])](/support/helpjp/helpview.aspx?si=4540/file06056/math93.png)
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](/support/helpjp/helpview.aspx?si=4540/file06056/math97.png)
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| (3) |
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Download Help Document
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