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Lineare Algebra I Leibniz Universität Hannover, Wintersemester 2009/10 Skizzen zu Blatt 1 AWB = {x | x2A Z x2B} AXB = {x | x2A Y x2B} A \ B = {x | x2A Y x;B}

Lineare Algebra I - Leibniz Universität Hannover - IAZDerne/lina1/dateien/LA1_Blatt1.pdf · Lineare Algebra I Leibniz Universität Hannover, Wintersemester 2009/10 Skizzen zu Blatt

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Lineare Algebra I Leibniz Universität Hannover, Wintersemester 2009/10

Skizzen zu Blatt 1

AWB = {x | x2A Z x2B}

AXB = {x | x2A Y x2B}

A \ B = {x | x2A Y x;B}

AcXBc

AcWBc

A \ B = AXBc

A ∆ B = (AWB) \ (AXB) = (A \ B) W(B \ A)

(AWB) \ C = (A \ C)W(B \ C)

(A ∆ B) \ C = (A \ C) ∆ (B \ C)

C \ (AWB) = (C \ A)X(C \ B)

A ∆ (B ∆ C) = (A ∆ B) ∆ C