CDCDCDCD1
花朵
共回答了17个问题采纳率:100% 举报
1.(A,E) =
5 3 1 1 0 0
1 -3 -2 0 1 0
-5 2 1 0 0 1
r1-r3,r2+2r3
10 1 0 1 0 -1
-9 1 0 0 1 2
-5 2 1 0 0 1
r2-r1,r3-2r1
10 1 0 1 0 -1
-19 0 0 -1 1 3
-15 0 1 -2 0 3
r2*(-1/19),r1-10r2,r3+15r2
0 1 0 9/19 10/19 11/19
1 0 0 1/19 -1/19 -3/19
0 0 1 -13/19 -25/19 -18/19
r1r2
1 0 0 1/19 -1/19 -3/19
0 1 0 9/19 10/19 11/19
0 0 1 -13/19 -25/19 -18/19
逆矩阵 A^-1 =
1/19 -1/19 -3/19
9/19 10/19 11/19
-13/19 -25/19 -18/19
2.
r2-2r1,r3-3r1
1 -1 2 1 0
0 0 0 0 0
0 3 0 -4 1
0 3 0 0 1
r4-r3
1 -1 2 1 0
0 0 0 0 0
0 3 0 -4 1
0 0 0 4 0
交换行得
1 -1 2 1 0
0 3 0 -4 1
0 0 0 4 0
0 0 0 0 0
秩 = 梯矩阵的非零行数 = 3.
3.
1 2 3 4
1 -2 4 5
1 10 1 2
r2-r2,r3-r2
1 2 3 4
0 -4 1 1
0 8 -2 -2
r3+2r2
1 2 3 4
0 -4 1 1
0 0 0 0
秩 = 2
1年前
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