rijoperaties met matrices

bewerkingen met rijen van een matrix
Je kan een 2x3 matrix m1 creëren via het virtueel toetsenbord, maar ook manueel.[br]Zo kan je m1 creëren door de invoer {{3, 4, 1}, {1, -2, 7}}.[br]Hierin is [br][list][*]m1(1,2) het element op de eerste rij en tweede kolom,m.a.w. a[sub]12[/sub].[/*][*]m1(1) de hele eerste rij[/*][/list]Je kan een m1 dus ook noteren als [b]m1={m1(1), m1(2)}[/b]. [br]Vanuit deze notatie kan je ook rijoperaties uitvoeren om een stelsel op te lossen.[br]Volg in onderstaand applet hoe je stapsgewijs volgend stelsel oplost m.b.v. rijoperaties:[br][img]data:image/png;base64,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[/img]

Information: rijoperaties met matrices