推 ntust661 :1.Rank(A)=Rank(A/B) = n 會有唯一解喔 08/26 20:54
→ ntust661 :2.Rank 問題吧@@ 08/26 20:57
→ ntust661 :3.列運算不會影響解 08/26 20:58
1. If A is an m*n matrix and n<m, then the equation Ax=0
will have infinite many answer.
False
=========
2. If the reduced row echelon form of [A b] contains a zero row,
then Ax=b has infinitely many solutions
False
===========
3. If (A1|b1) is obtained from (A|b) by a finite number of elementary row
operations, then the systems A1x=b1 and Ax=b are equivalent
True
===========
4. The equation Ax=0 has the trivial solution if and only if
thereare no free variables
False
請問這幾題是為什麼?
謝謝
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