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5.3.5 Linear Algebra and Gaussian Reduction

34C006 ^MATREF ( M → M' )
Returns matrix in Row-Echelon form.
34B006 ^MATRREF ( M → M' )
Returns matrix in Reduced Row-Echelon form.
34F006 ^MATREFRREF ( M #full_ref → M list M' )
If #full_ref is 1, returns Reduced Row-Echelon form, otherwise returns just Row-Echolong form.
367006 ^MATRIXRCI ( ncol i M const → M' )
Multiplies row #i of symbolic matrix M by constant. ncol is not used, it's here because of the stack state at call-time from inside laRCI.
368006 ^MATRIXRCIJ ( ncol #i #j M const → M' )
Does Lj <- c*Li+Lj. ncol is not used, it's here because of the stack state at call-time from inside laRCI.
350006 ^INXREDext ( Lvar #full_ref M → Lvar pivot M )
351006 ^METAMATRED ( Meta-M Lvar #full_red → meta-M Lvar pivot )
352006 ^METAPIVOT ( meta-M #l #c → meta-M #l #l' #c' flag )
Searchs a pivot in column #c starting from row #l. Flag is FALSE if pivot is not found. If pivot is found #l' is the row, #c is updated to #c'.
353006 ^PIVOTNORM
354006 ^PIVOTFLOAT ( float → float_modulus )
34D006 ^MATRANK ( M → Z/% )
Rank of a matrix.



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