Question

高数啊求学霸解第六题

高数啊求学霸解第六题空的数，自己随便加

Answer 1

6. 分别加 3，4
增广矩阵 (A, b) =
[1 2 2 1 1]
[2 -1 1 2 0]
[3 2 -3 2 3]
[4 -1 -2 3 4]
初等行变换为
[1 2 2 1 1]
[0 -5 -3 0 -2]
[0 -4 -9 -1 0]
[0 -9 -10 -1 0]
初等行变换为
[1 2 2 1 1]
[0 -5 -3 0 -2]
[0 -4 -9 -1 0]
[0 0 2 0 2]
第2行-1倍加第3行-1倍后加到第 4 行，初等行变换为
[1 2 2 1 1]
[0 -5 -3 0 -2]
[0 -4 -9 -1 0]
[0 0 2 0 2]
初等行变换为
[1 2 0 1 -1]
[0 -5 0 0 1]
[0 -4 0 -1 9]
[0 0 1 0 1]
初等行变换为
[1 0 0 1 -3/5]
[0 1 0 0 -1/5]
[0 0 0 -1 41/5]
[0 0 1 0 1]
初等行变换为
[1 0 0 0 38/5]
[0 1 0 0 -1/5]
[0 0 1 0 1]
[0 0 0 1 -41/5]
x1 = 38/5, x2 = -1/5, x3 = 1, x4 = -41/5