1. [0 1 0 19]
[0 0 1 6]
Why the answer is infinitely many solution ?
2. [1 0 13]
[0 1 2]
[0 0 0]
The answer is "Unique Solution"
However, why shouldn't it be infinitely many solution ? the last row is all zero...
thx
The reduced row-echelon forms of the augmented matrices of four systems are given below.?
2013-09-15 11:58 am
回答 (1)
2013-09-15 12:52 pm
✔ 最佳答案
1. The system is consistent because there's no row of the form 0 0 ... 0 c where c isn't zero. There is no pivot in the first column so x_1 is a free variable. This means there's infinitely many solutions.The solutions are, x_3 = 6, x_2 = 19 and x_1 = anything.
2. The system is consistent and there are pivots in all columns except the last. So there is a unique solution.
x_2 = 2, x_1 = 13 is the solution.
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