查看完整版本 : 有關SYSTEM OF LINEAR ALGEBRA 問題求高手入

HKGC 2017-10-1 06:03 AM

有關SYSTEM OF LINEAR ALGEBRA 問題求高手入

首先暫時學左echelon form, reduce echelon form and triangular. 但每次見到題目話FIND THE GENERAL SOLUTION 我都唔知用邊個方法搵,因為有時大有FREE VARIABLE.
eg. 1  -2  7  -6
     0   1  -6   5
好似呢題我用R1+2R2=R2  R2= 0  0  -5  4   咁X1 同X2 會係FREE VARIABLE 但答案係得X3 係FREE VARIABLE 想問點解同咩情況下用咩

ppresent 2017-10-1 06:24 PM

row1 + 2 row2 does not produce [img]https://latex.codecogs.com/gif.latex?%5Cbegin%7Bpmatrix%7D%200%20%26%200%20%26-5%264%20%5Cend%7Bpmatrix%7D[/img] but instead gives you [img]https://latex.codecogs.com/gif.latex?%5Cbegin%7Bpmatrix%7D%201%20%26%200%20%26-5%264%20%5Cend%7Bpmatrix%7D[/img].
The reduced row echelon form should be [img]https://latex.codecogs.com/gif.latex?%5Cbegin%7Bpmatrix%7D%201%20%26%200%20%26-5%264%20%5C%5C%200%20%261%20%26-6%26%205%20%5Cend%7Bpmatrix%7D[/img] and the free variables are x3 and x4.

[[i] 本帖最後由 ppresent 於 2017-10-1 06:30 PM 編輯 [/i]]
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查看完整版本: 有關SYSTEM OF LINEAR ALGEBRA 問題求高手入