Gauss-Jordan-matrices .pdf - Linear systems: The...

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Linear systems: The Gauss-Jordan methodIntroduction The Gauss-Jordan method is essentiallya shortcut for the Echelon method, and consists ofrepresenting a given linear system as rectangular ta-ble enclosed by brackets (called augmented matrix)without the variables and operators. The first columncontains the coefficients of the first variable, the sec-ond column contains the coefficients of the secondvariable, and so on. But the last column contains theconstants.For Example, the augmented matrix of2x°y=3x+2y=4is2 -13124The vertical line in the augmented matrix separatesthe constants from the coefficients of the variables.1if
2Constanxy14828101134
3constantsyzf3I639310I75111
4Constants3rowsmeansxY2I3equations808OX573228Ri3yItIR2ZUplug25inRz3y215113ytloIloloIy
plug25y3inRiX5313152X15152X2JSothesolution112y325
5The same question as for the previous example.241 0 0-10 1 040 0 13353rosVyJqgconstantsI03equationsXIy423D
6The same question as for the previous example.

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Term
Summer
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Elementary algebra

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